Greatest Common Factor of 1374/61, 2714/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1374/61, 2714/951

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 1374/61,2714/951

Given fractions are 1374/61,2714/951

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 1374,2714

Greatest Common Factor of Numerators i.e. GCF of 1374,2714 is 2 .

LCM of Denominators means LCM of 61,951 as per the given fractions.

LCM of 61,951 is 58011 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1374,2714

GCF of Fractions 1374/61,2714/951 is 2/58011

2 1374, 2714
687, 1357

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

Greatest Common Factor of 1374,2714 By Matching Biggest Common Factor Method

Greatest Common Factor of 1374,2714 By Matching Biggest Common Factor Method

Factors of 1374

List of positive integer factors of 1374 that divides 1374 without a remainder.

1,2,3,6,229,458,687,1374

Factors of 2714

List of positive integer factors of 2714 that divides 2714 without a remainder.

1,2,23,46,59,118,1357,2714

Greatest Common Factor

We found the factors 1374,2714 . The biggest common factor number is the GCF number.
So the greatest common factor 1374,2714 is 2.

Lets's calculate LCM of 61,951

Given numbers has no common factors except 1. So, there LCM is their product i.e 58011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58011

Therefore, the GCF of Fractions 1374/61,2714/951 is 2/58011

Least Common Multiple of 61,951 with GCF Formula

Least Common Multiple of 61,951 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 61,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,951) = 1

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

GCF(61,951) x common factors =1 x 1 = 1

LCM(61,951) = ( 61 × 951 ) / 1

LCM(61,951) = 58011 / 1

LCM(61,951) = 58011


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 1374/61, 2714/951

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 1374/61, 2714/951?

Answer: GCF of Numerators as per given numbers 1374/61, 2714/951 is

GCF of Numerators i.e. for 1374,2714 is 2

LCM of denominators i.e. for 61,951 is 58011.

Thus, GCF of Fractions is 2/58011.Finally, GCF of Fractions for 1374/61, 2714/951 is 2/58011.