Greatest Common Factor of 9474/247, 2948/7852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9474/247, 2948/7852

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 9474/247,2948/7852

Given fractions are 9474/247,2948/7852

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 9474,2948

Greatest Common Factor of Numerators i.e. GCF of 9474,2948 is 2 .

LCM of Denominators means LCM of 247,7852 as per the given fractions.

LCM of 247,7852 is 149188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9474,2948

GCF of Fractions 9474/247,2948/7852 is 2/149188

2 9474, 2948
4737, 1474

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

Greatest Common Factor of 9474,2948 By Matching Biggest Common Factor Method

Greatest Common Factor of 9474,2948 By Matching Biggest Common Factor Method

Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1,2,3,6,1579,3158,4737,9474

Factors of 2948

List of positive integer factors of 2948 that divides 2948 without a remainder.

1,2,4,11,22,44,67,134,268,737,1474,2948

Greatest Common Factor

We found the factors 9474,2948 . The biggest common factor number is the GCF number.
So the greatest common factor 9474,2948 is 2.


Lets's calculate LCM of 247,7852

13 247, 7852
19, 604

∴ So the LCM of the given numbers is 13 x 19 x 604 = 149188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/149188

Therefore, the GCF of Fractions 9474/247,2948/7852 is 2/149188

Least Common Multiple of 247,7852 with GCF Formula

Least Common Multiple of 247,7852 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 247,7852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,7852) = 13

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

GCF(247,7852) x common factors =13 x 1 = 13

LCM(247,7852) = ( 247 × 7852 ) / 13

LCM(247,7852) = 1939444 / 13

LCM(247,7852) = 149188


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9474/247, 2948/7852

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 9474/247, 2948/7852?

Answer: GCF of Numerators as per given numbers 9474/247, 2948/7852 is

GCF of Numerators i.e. for 9474,2948 is 2

LCM of denominators i.e. for 247,7852 is 149188.

Thus, GCF of Fractions is 2/149188.Finally, GCF of Fractions for 9474/247, 2948/7852 is 2/149188.