Greatest Common Factor of 7386/908, 9492/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7386/908, 9492/791

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 7386/908,9492/791

Given fractions are 7386/908,9492/791

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 7386,9492

Greatest Common Factor of Numerators i.e. GCF of 7386,9492 is 6 .

LCM of Denominators means LCM of 908,791 as per the given fractions.

LCM of 908,791 is 718228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7386,9492

GCF of Fractions 7386/908,9492/791 is 6/718228

2 7386, 9492
3 3693, 4746
1231, 1582

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7386,9492 By Matching Biggest Common Factor Method

Greatest Common Factor of 7386,9492 By Matching Biggest Common Factor Method

Factors of 7386

List of positive integer factors of 7386 that divides 7386 without a remainder.

1,2,3,6,1231,2462,3693,7386

Factors of 9492

List of positive integer factors of 9492 that divides 9492 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492

Greatest Common Factor

We found the factors 7386,9492 . The biggest common factor number is the GCF number.
So the greatest common factor 7386,9492 is 6.

Lets's calculate LCM of 908,791

Given numbers has no common factors except 1. So, there LCM is their product i.e 718228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/718228

Therefore, the GCF of Fractions 7386/908,9492/791 is 6/718228

Least Common Multiple of 908,791 with GCF Formula

Least Common Multiple of 908,791 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 908,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,791) = 1

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

GCF(908,791) x common factors =1 x 1 = 1

LCM(908,791) = ( 908 × 791 ) / 1

LCM(908,791) = 718228 / 1

LCM(908,791) = 718228


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 7386/908, 9492/791

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 7386/908, 9492/791?

Answer: GCF of Numerators as per given numbers 7386/908, 9492/791 is

GCF of Numerators i.e. for 7386,9492 is 6

LCM of denominators i.e. for 908,791 is 718228.

Thus, GCF of Fractions is 6/718228.Finally, GCF of Fractions for 7386/908, 9492/791 is 6/718228.