Greatest Common Factor of 9352/232, 5482/3974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9352/232, 5482/3974

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 9352/232,5482/3974

Given fractions are 9352/232,5482/3974

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 9352,5482

Greatest Common Factor of Numerators i.e. GCF of 9352,5482 is 2 .

LCM of Denominators means LCM of 232,3974 as per the given fractions.

LCM of 232,3974 is 460984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9352,5482

GCF of Fractions 9352/232,5482/3974 is 2/460984

2 9352, 5482
4676, 2741

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

Greatest Common Factor of 9352,5482 By Matching Biggest Common Factor Method

Greatest Common Factor of 9352,5482 By Matching Biggest Common Factor Method

Factors of 9352

List of positive integer factors of 9352 that divides 9352 without a remainder.

1,2,4,7,8,14,28,56,167,334,668,1169,1336,2338,4676,9352

Factors of 5482

List of positive integer factors of 5482 that divides 5482 without a remainder.

1,2,2741,5482

Greatest Common Factor

We found the factors 9352,5482 . The biggest common factor number is the GCF number.
So the greatest common factor 9352,5482 is 2.

Lets's calculate LCM of 232,3974

2 232, 3974
116, 1987

∴ So the LCM of the given numbers is 2 x 116 x 1987 = 460984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/460984

Therefore, the GCF of Fractions 9352/232,5482/3974 is 2/460984

Least Common Multiple of 232,3974 with GCF Formula

Least Common Multiple of 232,3974 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 232,3974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,3974) = 2

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

GCF(232,3974) x common factors =2 x 1 = 2

LCM(232,3974) = ( 232 × 3974 ) / 2

LCM(232,3974) = 921968 / 2

LCM(232,3974) = 460984


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 9352/232, 5482/3974

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 9352/232, 5482/3974?

Answer: GCF of Numerators as per given numbers 9352/232, 5482/3974 is

GCF of Numerators i.e. for 9352,5482 is 2

LCM of denominators i.e. for 232,3974 is 460984.

Thus, GCF of Fractions is 2/460984.Finally, GCF of Fractions for 9352/232, 5482/3974 is 2/460984.