How to Find GCF of 962/718, 642/729?

GCF of 962/718, 642/729

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 962/718, 642/729 i.e 2/523422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/718, 642/729.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 962/718,642/729?

Given fractions are 962/718,642/729

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 962/718,642/729, numerators are 962,642

Denominators are 718,729

The GCF of 962,642 is 2 .

LCM of 718,729 is 523422.

The greatest common factor of 962/718,642/729 = [GCF of 962,642]/[LCM of 718,729]= 2/523422

Therefore, the GCF of 962/718,642/729 is 2/523422.

Greatest Common Factor of 962,642

To find the highest common factor of 962,642, we have to find the factors of both numbers and list the highest common factor.

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642

The HCF of 962,642 is 2.

Lets's calculate GCF of 962,642

Greatest Common Factor (GCF) of 962,642 By Common Division

2	962, 642
	481, 321

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 962,642 By Matching Biggest Common Factor Method

Now, list down the factors of 962

1,2,13,26,37,74,481,962

Now, list down the factors of 642

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 962,642 . The biggest common factor number is the GCF number.
So the greatest common factor 962,642 is 2.

Lets's calculate LCM of 718,729

Lowest Common Multiple of 718,729 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 523422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/523422

Therefore, the GCF of Fractions 962/718,642/729 is 2/523422

Least Common Multiple of 718,729 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 718,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,729) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(718,729) x common factors =1 x 1 = 1

LCM(718,729) = ( 718 × 729 ) / 1

LCM(718,729) = 523422 / 1

LCM(718,729) = 523422

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FAQs on GCF of Fractions of 962/718, 642/729

1. What is the HCF of 962,642?

The HCF of 962,642 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 962/718, 642/729?

Answer: GCF of Numerators as per given numbers 962/718, 642/729 is

GCF of Numerators i.e. for 962,642 is 2

LCM of denominators i.e. for 718,729 is 523422.

Thus, GCF of Fractions is 2/523422.Finally, GCF of Fractions for 962/718, 642/729 is 2/523422.