Greatest Common Factor of 9471/790, 7172/6688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9471/790, 7172/6688

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 9471/790,7172/6688

Given fractions are 9471/790,7172/6688

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 9471,7172

Greatest Common Factor of Numerators i.e. GCF of 9471,7172 is 11 .

LCM of Denominators means LCM of 790,6688 as per the given fractions.

LCM of 790,6688 is 2641760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9471,7172

GCF of Fractions 9471/790,7172/6688 is 11/2641760

11 9471, 7172
861, 652

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9471,7172 By Matching Biggest Common Factor Method

Greatest Common Factor of 9471,7172 By Matching Biggest Common Factor Method

Factors of 9471

List of positive integer factors of 9471 that divides 9471 without a remainder.

1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471

Factors of 7172

List of positive integer factors of 7172 that divides 7172 without a remainder.

1,2,4,11,22,44,163,326,652,1793,3586,7172

Greatest Common Factor

We found the factors 9471,7172 . The biggest common factor number is the GCF number.
So the greatest common factor 9471,7172 is 11.

Lets's calculate LCM of 790,6688

2 790, 6688
395, 3344

∴ So the LCM of the given numbers is 2 x 395 x 3344 = 2641760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2641760

Therefore, the GCF of Fractions 9471/790,7172/6688 is 11/2641760

Least Common Multiple of 790,6688 with GCF Formula

Least Common Multiple of 790,6688 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 790,6688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,6688) = 2

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

GCF(790,6688) x common factors =2 x 1 = 2

LCM(790,6688) = ( 790 × 6688 ) / 2

LCM(790,6688) = 5283520 / 2

LCM(790,6688) = 2641760


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 9471/790, 7172/6688

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 9471/790, 7172/6688?

Answer: GCF of Numerators as per given numbers 9471/790, 7172/6688 is

GCF of Numerators i.e. for 9471,7172 is 11

LCM of denominators i.e. for 790,6688 is 2641760.

Thus, GCF of Fractions is 11/2641760.Finally, GCF of Fractions for 9471/790, 7172/6688 is 11/2641760.