Greatest Common Factor of 452/131, 9108/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 452/131, 9108/242

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 452/131,9108/242

Given fractions are 452/131,9108/242

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 452,9108

Greatest Common Factor of Numerators i.e. GCF of 452,9108 is 4 .

LCM of Denominators means LCM of 131,242 as per the given fractions.

LCM of 131,242 is 31702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 452,9108

GCF of Fractions 452/131,9108/242 is 4/31702

2 452, 9108
2 226, 4554
113, 2277

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

Greatest Common Factor of 452,9108 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,9108 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 9108

List of positive integer factors of 9108 that divides 9108 without a remainder.

1,2,3,4,6,9,11,12,18,22,23,33,36,44,46,66,69,92,99,132,138,198,207,253,276,396,414,506,759,828,1012,1518,2277,3036,4554,9108

Greatest Common Factor

We found the factors 452,9108 . The biggest common factor number is the GCF number.
So the greatest common factor 452,9108 is 4.

Lets's calculate LCM of 131,242

Given numbers has no common factors except 1. So, there LCM is their product i.e 31702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/31702

Therefore, the GCF of Fractions 452/131,9108/242 is 4/31702

Least Common Multiple of 131,242 with GCF Formula

Least Common Multiple of 131,242 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 131,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,242) = 1

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

GCF(131,242) x common factors =1 x 1 = 1

LCM(131,242) = ( 131 × 242 ) / 1

LCM(131,242) = 31702 / 1

LCM(131,242) = 31702


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 452/131, 9108/242

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 452/131, 9108/242?

Answer: GCF of Numerators as per given numbers 452/131, 9108/242 is

GCF of Numerators i.e. for 452,9108 is 4

LCM of denominators i.e. for 131,242 is 31702.

Thus, GCF of Fractions is 4/31702.Finally, GCF of Fractions for 452/131, 9108/242 is 4/31702.