Greatest Common Factor of 7738/687, 8653/9025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7738/687, 8653/9025

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 7738/687,8653/9025

Given fractions are 7738/687,8653/9025

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 7738,8653

Greatest Common Factor of Numerators i.e. GCF of 7738,8653 is 1 .

LCM of Denominators means LCM of 687,9025 as per the given fractions.

LCM of 687,9025 is 6200175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7738,8653

GCF of Fractions 7738/687,8653/9025 is 1/6200175

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7738,8653 By Matching Biggest Common Factor Method

Greatest Common Factor of 7738,8653 By Matching Biggest Common Factor Method

Factors of 7738

List of positive integer factors of 7738 that divides 7738 without a remainder.

1,2,53,73,106,146,3869,7738

Factors of 8653

List of positive integer factors of 8653 that divides 8653 without a remainder.

1,17,509,8653

Greatest Common Factor

We found the factors 7738,8653 . The biggest common factor number is the GCF number.
So the greatest common factor 7738,8653 is 1.

Lets's calculate LCM of 687,9025

Given numbers has no common factors except 1. So, there LCM is their product i.e 6200175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6200175

Therefore, the GCF of Fractions 7738/687,8653/9025 is 1/6200175

Least Common Multiple of 687,9025 with GCF Formula

Least Common Multiple of 687,9025 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 687,9025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,9025) = 1

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

GCF(687,9025) x common factors =1 x 1 = 1

LCM(687,9025) = ( 687 × 9025 ) / 1

LCM(687,9025) = 6200175 / 1

LCM(687,9025) = 6200175


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 7738/687, 8653/9025

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 7738/687, 8653/9025?

Answer: GCF of Numerators as per given numbers 7738/687, 8653/9025 is

GCF of Numerators i.e. for 7738,8653 is 1

LCM of denominators i.e. for 687,9025 is 6200175.

Thus, GCF of Fractions is 1/6200175.Finally, GCF of Fractions for 7738/687, 8653/9025 is 1/6200175.