Greatest Common Factor of 7962/61, 5636/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7962/61, 5636/999

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 7962/61,5636/999

Given fractions are 7962/61,5636/999

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 7962,5636

Greatest Common Factor of Numerators i.e. GCF of 7962,5636 is 2 .

LCM of Denominators means LCM of 61,999 as per the given fractions.

LCM of 61,999 is 60939 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7962,5636

GCF of Fractions 7962/61,5636/999 is 2/60939

2 7962, 5636
3981, 2818

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

Greatest Common Factor of 7962,5636 By Matching Biggest Common Factor Method

Greatest Common Factor of 7962,5636 By Matching Biggest Common Factor Method

Factors of 7962

List of positive integer factors of 7962 that divides 7962 without a remainder.

1,2,3,6,1327,2654,3981,7962

Factors of 5636

List of positive integer factors of 5636 that divides 5636 without a remainder.

1,2,4,1409,2818,5636

Greatest Common Factor

We found the factors 7962,5636 . The biggest common factor number is the GCF number.
So the greatest common factor 7962,5636 is 2.

Lets's calculate LCM of 61,999

Given numbers has no common factors except 1. So, there LCM is their product i.e 60939

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60939

Therefore, the GCF of Fractions 7962/61,5636/999 is 2/60939

Least Common Multiple of 61,999 with GCF Formula

Least Common Multiple of 61,999 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 61,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,999) = 1

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

GCF(61,999) x common factors =1 x 1 = 1

LCM(61,999) = ( 61 × 999 ) / 1

LCM(61,999) = 60939 / 1

LCM(61,999) = 60939


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 7962/61, 5636/999

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 7962/61, 5636/999?

Answer: GCF of Numerators as per given numbers 7962/61, 5636/999 is

GCF of Numerators i.e. for 7962,5636 is 2

LCM of denominators i.e. for 61,999 is 60939.

Thus, GCF of Fractions is 2/60939.Finally, GCF of Fractions for 7962/61, 5636/999 is 2/60939.