Greatest Common Factor of 62/989, 7967/9624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/989, 7967/9624

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 62/989,7967/9624

Given fractions are 62/989,7967/9624

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 62,7967

Greatest Common Factor of Numerators i.e. GCF of 62,7967 is 31 .

LCM of Denominators means LCM of 989,9624 as per the given fractions.

LCM of 989,9624 is 9518136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,7967

GCF of Fractions 62/989,7967/9624 is 31/9518136

31 62, 7967
2, 257

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 62,7967 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,7967 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 7967

List of positive integer factors of 7967 that divides 7967 without a remainder.

1,31,257,7967

Greatest Common Factor

We found the factors 62,7967 . The biggest common factor number is the GCF number.
So the greatest common factor 62,7967 is 31.

Lets's calculate LCM of 989,9624

Given numbers has no common factors except 1. So, there LCM is their product i.e 9518136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/9518136

Therefore, the GCF of Fractions 62/989,7967/9624 is 31/9518136

Least Common Multiple of 989,9624 with GCF Formula

Least Common Multiple of 989,9624 with GCF Formula

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

We need to calculate greatest common factor of 989,9624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,9624) = 1

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

GCF(989,9624) x common factors =1 x 1 = 1

LCM(989,9624) = ( 989 × 9624 ) / 1

LCM(989,9624) = 9518136 / 1

LCM(989,9624) = 9518136


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 62/989, 7967/9624

1. 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.

2. What is the GCF of Fractions for 62/989, 7967/9624?

Answer: GCF of Numerators as per given numbers 62/989, 7967/9624 is

GCF of Numerators i.e. for 62,7967 is 31

LCM of denominators i.e. for 989,9624 is 9518136.

Thus, GCF of Fractions is 31/9518136.Finally, GCF of Fractions for 62/989, 7967/9624 is 31/9518136.