Greatest Common Factor of 1534/826, 2952/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1534/826, 2952/331

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 1534/826,2952/331

Given fractions are 1534/826,2952/331

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 1534,2952

Greatest Common Factor of Numerators i.e. GCF of 1534,2952 is 2 .

LCM of Denominators means LCM of 826,331 as per the given fractions.

LCM of 826,331 is 273406 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1534,2952

GCF of Fractions 1534/826,2952/331 is 2/273406

2 1534, 2952
767, 1476

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

Greatest Common Factor of 1534,2952 By Matching Biggest Common Factor Method

Greatest Common Factor of 1534,2952 By Matching Biggest Common Factor Method

Factors of 1534

List of positive integer factors of 1534 that divides 1534 without a remainder.

1,2,13,26,59,118,767,1534

Factors of 2952

List of positive integer factors of 2952 that divides 2952 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,41,72,82,123,164,246,328,369,492,738,984,1476,2952

Greatest Common Factor

We found the factors 1534,2952 . The biggest common factor number is the GCF number.
So the greatest common factor 1534,2952 is 2.

Lets's calculate LCM of 826,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 273406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/273406

Therefore, the GCF of Fractions 1534/826,2952/331 is 2/273406

Least Common Multiple of 826,331 with GCF Formula

Least Common Multiple of 826,331 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 826,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,331) = 1

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

GCF(826,331) x common factors =1 x 1 = 1

LCM(826,331) = ( 826 × 331 ) / 1

LCM(826,331) = 273406 / 1

LCM(826,331) = 273406


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 1534/826, 2952/331

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 1534/826, 2952/331?

Answer: GCF of Numerators as per given numbers 1534/826, 2952/331 is

GCF of Numerators i.e. for 1534,2952 is 2

LCM of denominators i.e. for 826,331 is 273406.

Thus, GCF of Fractions is 2/273406.Finally, GCF of Fractions for 1534/826, 2952/331 is 2/273406.