Greatest Common Factor of 9292/82, 1908/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9292/82, 1908/332

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 9292/82,1908/332

Given fractions are 9292/82,1908/332

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 9292,1908

Greatest Common Factor of Numerators i.e. GCF of 9292,1908 is 4 .

LCM of Denominators means LCM of 82,332 as per the given fractions.

LCM of 82,332 is 13612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9292,1908

GCF of Fractions 9292/82,1908/332 is 4/13612

2 9292, 1908
2 4646, 954
2323, 477

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9292,1908 By Matching Biggest Common Factor Method

Greatest Common Factor of 9292,1908 By Matching Biggest Common Factor Method

Factors of 9292

List of positive integer factors of 9292 that divides 9292 without a remainder.

1,2,4,23,46,92,101,202,404,2323,4646,9292

Factors of 1908

List of positive integer factors of 1908 that divides 1908 without a remainder.

1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908

Greatest Common Factor

We found the factors 9292,1908 . The biggest common factor number is the GCF number.
So the greatest common factor 9292,1908 is 4.

Lets's calculate LCM of 82,332

2 82, 332
41, 166

∴ So the LCM of the given numbers is 2 x 41 x 166 = 13612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13612

Therefore, the GCF of Fractions 9292/82,1908/332 is 4/13612

Least Common Multiple of 82,332 with GCF Formula

Least Common Multiple of 82,332 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 82,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,332) = 2

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

GCF(82,332) x common factors =2 x 1 = 2

LCM(82,332) = ( 82 × 332 ) / 2

LCM(82,332) = 27224 / 2

LCM(82,332) = 13612


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 9292/82, 1908/332

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 9292/82, 1908/332?

Answer: GCF of Numerators as per given numbers 9292/82, 1908/332 is

GCF of Numerators i.e. for 9292,1908 is 4

LCM of denominators i.e. for 82,332 is 13612.

Thus, GCF of Fractions is 4/13612.Finally, GCF of Fractions for 9292/82, 1908/332 is 4/13612.