Greatest Common Factor of 92/312, 8326/6632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/312, 8326/6632

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 92/312,8326/6632

Given fractions are 92/312,8326/6632

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 92,8326

Greatest Common Factor of Numerators i.e. GCF of 92,8326 is 46 .

LCM of Denominators means LCM of 312,6632 as per the given fractions.

LCM of 312,6632 is 258648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,8326

GCF of Fractions 92/312,8326/6632 is 46/258648

2 92, 8326
23 46, 4163
2, 181

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 92,8326 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,8326 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 8326

List of positive integer factors of 8326 that divides 8326 without a remainder.

1,2,23,46,181,362,4163,8326

Greatest Common Factor

We found the factors 92,8326 . The biggest common factor number is the GCF number.
So the greatest common factor 92,8326 is 46.

Lets's calculate LCM of 312,6632

2 312, 6632
2 156, 3316
2 78, 1658
39, 829

∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 829 = 258648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/258648

Therefore, the GCF of Fractions 92/312,8326/6632 is 46/258648

Least Common Multiple of 312,6632 with GCF Formula

Least Common Multiple of 312,6632 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 312,6632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,6632) = 8

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

GCF(312,6632) x common factors =8 x 1 = 8

LCM(312,6632) = ( 312 × 6632 ) / 8

LCM(312,6632) = 2069184 / 8

LCM(312,6632) = 258648


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 92/312, 8326/6632

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 92/312, 8326/6632?

Answer: GCF of Numerators as per given numbers 92/312, 8326/6632 is

GCF of Numerators i.e. for 92,8326 is 46

LCM of denominators i.e. for 312,6632 is 258648.

Thus, GCF of Fractions is 46/258648.Finally, GCF of Fractions for 92/312, 8326/6632 is 46/258648.