Greatest Common Factor of 7149/310, 1314/5062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7149/310, 1314/5062

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 7149/310,1314/5062

Given fractions are 7149/310,1314/5062

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 7149,1314

Greatest Common Factor of Numerators i.e. GCF of 7149,1314 is 3 .

LCM of Denominators means LCM of 310,5062 as per the given fractions.

LCM of 310,5062 is 784610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7149,1314

GCF of Fractions 7149/310,1314/5062 is 3/784610

3 7149, 1314
2383, 438

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7149,1314 By Matching Biggest Common Factor Method

Greatest Common Factor of 7149,1314 By Matching Biggest Common Factor Method

Factors of 7149

List of positive integer factors of 7149 that divides 7149 without a remainder.

1,3,2383,7149

Factors of 1314

List of positive integer factors of 1314 that divides 1314 without a remainder.

1,2,3,6,9,18,73,146,219,438,657,1314

Greatest Common Factor

We found the factors 7149,1314 . The biggest common factor number is the GCF number.
So the greatest common factor 7149,1314 is 3.

Lets's calculate LCM of 310,5062

2 310, 5062
155, 2531

∴ So the LCM of the given numbers is 2 x 155 x 2531 = 784610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/784610

Therefore, the GCF of Fractions 7149/310,1314/5062 is 3/784610

Least Common Multiple of 310,5062 with GCF Formula

Least Common Multiple of 310,5062 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 310,5062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,5062) = 2

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

GCF(310,5062) x common factors =2 x 1 = 2

LCM(310,5062) = ( 310 × 5062 ) / 2

LCM(310,5062) = 1569220 / 2

LCM(310,5062) = 784610


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 7149/310, 1314/5062

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 7149/310, 1314/5062?

Answer: GCF of Numerators as per given numbers 7149/310, 1314/5062 is

GCF of Numerators i.e. for 7149,1314 is 3

LCM of denominators i.e. for 310,5062 is 784610.

Thus, GCF of Fractions is 3/784610.Finally, GCF of Fractions for 7149/310, 1314/5062 is 3/784610.