Greatest Common Factor of 7707/307, 9687/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7707/307, 9687/637

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 7707/307,9687/637

Given fractions are 7707/307,9687/637

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 7707,9687

Greatest Common Factor of Numerators i.e. GCF of 7707,9687 is 3 .

LCM of Denominators means LCM of 307,637 as per the given fractions.

LCM of 307,637 is 195559 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7707,9687

GCF of Fractions 7707/307,9687/637 is 3/195559

3 7707, 9687
2569, 3229

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7707,9687 By Matching Biggest Common Factor Method

Greatest Common Factor of 7707,9687 By Matching Biggest Common Factor Method

Factors of 7707

List of positive integer factors of 7707 that divides 7707 without a remainder.

1,3,7,21,367,1101,2569,7707

Factors of 9687

List of positive integer factors of 9687 that divides 9687 without a remainder.

1,3,3229,9687

Greatest Common Factor

We found the factors 7707,9687 . The biggest common factor number is the GCF number.
So the greatest common factor 7707,9687 is 3.

Lets's calculate LCM of 307,637

Given numbers has no common factors except 1. So, there LCM is their product i.e 195559

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/195559

Therefore, the GCF of Fractions 7707/307,9687/637 is 3/195559

Least Common Multiple of 307,637 with GCF Formula

Least Common Multiple of 307,637 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 307,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,637) = 1

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

GCF(307,637) x common factors =1 x 1 = 1

LCM(307,637) = ( 307 × 637 ) / 1

LCM(307,637) = 195559 / 1

LCM(307,637) = 195559


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 7707/307, 9687/637

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 7707/307, 9687/637?

Answer: GCF of Numerators as per given numbers 7707/307, 9687/637 is

GCF of Numerators i.e. for 7707,9687 is 3

LCM of denominators i.e. for 307,637 is 195559.

Thus, GCF of Fractions is 3/195559.Finally, GCF of Fractions for 7707/307, 9687/637 is 3/195559.