Greatest Common Factor of 4931/66, 7342/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4931/66, 7342/270

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 4931/66,7342/270

Given fractions are 4931/66,7342/270

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 4931,7342

Greatest Common Factor of Numerators i.e. GCF of 4931,7342 is 1 .

LCM of Denominators means LCM of 66,270 as per the given fractions.

LCM of 66,270 is 2970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4931,7342

GCF of Fractions 4931/66,7342/270 is 1/2970

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4931,7342 By Matching Biggest Common Factor Method

Greatest Common Factor of 4931,7342 By Matching Biggest Common Factor Method

Factors of 4931

List of positive integer factors of 4931 that divides 4931 without a remainder.

1,4931

Factors of 7342

List of positive integer factors of 7342 that divides 7342 without a remainder.

1,2,3671,7342

Greatest Common Factor

We found the factors 4931,7342 . The biggest common factor number is the GCF number.
So the greatest common factor 4931,7342 is 1.

Lets's calculate LCM of 66,270

2 66, 270
3 33, 135
11, 45

∴ So the LCM of the given numbers is 2 x 3 x 11 x 45 = 2970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2970

Therefore, the GCF of Fractions 4931/66,7342/270 is 1/2970

Least Common Multiple of 66,270 with GCF Formula

Least Common Multiple of 66,270 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 66,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,270) = 6

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

GCF(66,270) x common factors =6 x 1 = 6

LCM(66,270) = ( 66 × 270 ) / 6

LCM(66,270) = 17820 / 6

LCM(66,270) = 2970


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 4931/66, 7342/270

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 4931/66, 7342/270?

Answer: GCF of Numerators as per given numbers 4931/66, 7342/270 is

GCF of Numerators i.e. for 4931,7342 is 1

LCM of denominators i.e. for 66,270 is 2970.

Thus, GCF of Fractions is 1/2970.Finally, GCF of Fractions for 4931/66, 7342/270 is 1/2970.