Greatest Common Factor of 8577/790, 7416/9427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8577/790, 7416/9427

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 8577/790,7416/9427

Given fractions are 8577/790,7416/9427

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 8577,7416

Greatest Common Factor of Numerators i.e. GCF of 8577,7416 is 9 .

LCM of Denominators means LCM of 790,9427 as per the given fractions.

LCM of 790,9427 is 7447330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8577,7416

GCF of Fractions 8577/790,7416/9427 is 9/7447330

3 8577, 7416
3 2859, 2472
953, 824

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 8577,7416 By Matching Biggest Common Factor Method

Greatest Common Factor of 8577,7416 By Matching Biggest Common Factor Method

Factors of 8577

List of positive integer factors of 8577 that divides 8577 without a remainder.

1,3,9,953,2859,8577

Factors of 7416

List of positive integer factors of 7416 that divides 7416 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416

Greatest Common Factor

We found the factors 8577,7416 . The biggest common factor number is the GCF number.
So the greatest common factor 8577,7416 is 9.

Lets's calculate LCM of 790,9427

Given numbers has no common factors except 1. So, there LCM is their product i.e 7447330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/7447330

Therefore, the GCF of Fractions 8577/790,7416/9427 is 9/7447330

Least Common Multiple of 790,9427 with GCF Formula

Least Common Multiple of 790,9427 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 790,9427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,9427) = 1

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

GCF(790,9427) x common factors =1 x 1 = 1

LCM(790,9427) = ( 790 × 9427 ) / 1

LCM(790,9427) = 7447330 / 1

LCM(790,9427) = 7447330


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 8577/790, 7416/9427

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 8577/790, 7416/9427?

Answer: GCF of Numerators as per given numbers 8577/790, 7416/9427 is

GCF of Numerators i.e. for 8577,7416 is 9

LCM of denominators i.e. for 790,9427 is 7447330.

Thus, GCF of Fractions is 9/7447330.Finally, GCF of Fractions for 8577/790, 7416/9427 is 9/7447330.