Greatest Common Factor of 3617/979, 8855/7745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3617/979, 8855/7745

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 3617/979,8855/7745

Given fractions are 3617/979,8855/7745

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 3617,8855

Greatest Common Factor of Numerators i.e. GCF of 3617,8855 is 1 .

LCM of Denominators means LCM of 979,7745 as per the given fractions.

LCM of 979,7745 is 7582355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3617,8855

GCF of Fractions 3617/979,8855/7745 is 1/7582355

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

Greatest Common Factor of 3617,8855 By Matching Biggest Common Factor Method

Greatest Common Factor of 3617,8855 By Matching Biggest Common Factor Method

Factors of 3617

List of positive integer factors of 3617 that divides 3617 without a remainder.

1,3617

Factors of 8855

List of positive integer factors of 8855 that divides 8855 without a remainder.

1,5,7,11,23,35,55,77,115,161,253,385,805,1265,1771,8855

Greatest Common Factor

We found the factors 3617,8855 . The biggest common factor number is the GCF number.
So the greatest common factor 3617,8855 is 1.

Lets's calculate LCM of 979,7745

Given numbers has no common factors except 1. So, there LCM is their product i.e 7582355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7582355

Therefore, the GCF of Fractions 3617/979,8855/7745 is 1/7582355

Least Common Multiple of 979,7745 with GCF Formula

Least Common Multiple of 979,7745 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 979,7745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,7745) = 1

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

GCF(979,7745) x common factors =1 x 1 = 1

LCM(979,7745) = ( 979 × 7745 ) / 1

LCM(979,7745) = 7582355 / 1

LCM(979,7745) = 7582355


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 3617/979, 8855/7745

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 3617/979, 8855/7745?

Answer: GCF of Numerators as per given numbers 3617/979, 8855/7745 is

GCF of Numerators i.e. for 3617,8855 is 1

LCM of denominators i.e. for 979,7745 is 7582355.

Thus, GCF of Fractions is 1/7582355.Finally, GCF of Fractions for 3617/979, 8855/7745 is 1/7582355.