Common questions

What is the HCF of two numbers when one of it is zero?

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What is the HCF of two numbers when one of it is zero?

So, we can always find an integer > 0 that is the HCF(0, 0). So, HCF(0, 0) is undefined (an integer as large as you would like).

How do you find two numbers then HCF is given?

or, H.C.F. = Product of Two Given NumbersL.C.M….Solved examples on the relationship between H.C.F. and L.C.M.:

  1. Find the L.C.M. of 1683 and 1584.
  2. Highest common factor and lowest common multiple of two numbers are 18 and 1782 respectively.
  3. The HCF of two numbers is 3 and their LCM is 54.

What is the HCF of 1 and 0?

The largest number which has both 0 and 1 as its integral multiple is 1 (0=1*0 , 1=1*1). Hence, hcf of 0 and 1 is 1.

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How do I find the 2 numbers when their LCM and HCF are given?

Product of Two Numbers X*Y = HCF * LCM. You see there are 4 variables Viz. X, Y, HCF and LCM. When HCF and LCM is given, we have 2 variables (X and Y) and only one equation i. e. X * Y = HCF * LCM.

What is the formula to calculate HCF?

HCF = Product of the common prime factors with the lowest powers. Division Method: We use Euclid’s Division Lemma( a = bq+ r.) to find the HCF of two numbers a and b. i.e. Dividend = Divisor × Quotient + Remainder.

What is relation between HCF and LCM?

The Relation Between HCF and LCM of co-prime numbers is the product of the numbers = LCM of Co-Prime numbers, as the HCF of co-prime numbers is equal to 1.

What is the product of the HCF and LCM of two prime numbers A and B?

Therefore ab is the correct answer.

What is the HCF of 2 and 2?

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The GCF of 2 and 2 is 2.

What is the GCD of 0 and 0?

The GCD of 0 and 0 is generally defined as 0. This may seem paradoxical. After all, every number divides zero, and there is no “greatest” number. It turns out that mathematicians actually don’t usually define the GCD as literally the “greatest” common divisor in the sense of the numerically largest.

What is relation between LCM and HCF?

What is the formula of LCM and HCF?

HCF and LCM Formula and Tricks Product of two numbers = Product of their HCF and LCM. Two numbers are said to be co-prime if their HCF is 1. HCF = HCF of Numerators/LCM of denominators. LCM = LCM of Numerators/ HCF of Denominators.

What is the HCF of zero and zero?

If the HCF is zero both numbers must be zero. The reason: zero can be divided by any none-zero integer and the result would still be zero but no number can divide zero since every number multiplied by zero will give zero so you could end with wrong results like 1=2. Therefor the HCF of zero and zero was defined as zero.

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How to find the HCF of more than 3 numbers?

The above steps can also be used to find the HCF of more than 3 numbers. Example: Find the HCF of 144 and 160 by division method. Since 160>144, so the dividend will be 160 and the divisor will be 144. Hence, we can see here 16 is the highest number which divides 160 and 144. To calculate the LCM of two numbers 60 and 45.

How do you find the product of HCF and LCM?

The formula which involves both HCF and LCM is: Product of Two numbers = (HCF of the two numbers) x (LCM of the two numbers) Say, A and B are the two numbers, then as per the formula; A x B = H.C.F.

How to find the HCF (shortcut method) of a given function?

Division method to find the HCF (Shortcut method) 1 Larger number/ Smaller Number 2 The divisor of the above step / Remainder 3 The divisor of step 2 / remainder. Keep doing this step till R = 0 (Zero). 4 The last step’s divisor will be HCF. More