Greatest Common Factor of 7999/14, 3917/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7999/14, 3917/274

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 7999/14,3917/274

Given fractions are 7999/14,3917/274

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 7999,3917

Greatest Common Factor of Numerators i.e. GCF of 7999,3917 is 1 .

LCM of Denominators means LCM of 14,274 as per the given fractions.

LCM of 14,274 is 1918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7999,3917

GCF of Fractions 7999/14,3917/274 is 1/1918

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

Greatest Common Factor of 7999,3917 By Matching Biggest Common Factor Method

Greatest Common Factor of 7999,3917 By Matching Biggest Common Factor Method

Factors of 7999

List of positive integer factors of 7999 that divides 7999 without a remainder.

1,19,421,7999

Factors of 3917

List of positive integer factors of 3917 that divides 3917 without a remainder.

1,3917

Greatest Common Factor

We found the factors 7999,3917 . The biggest common factor number is the GCF number.
So the greatest common factor 7999,3917 is 1.

Lets's calculate LCM of 14,274

2 14, 274
7, 137

∴ So the LCM of the given numbers is 2 x 7 x 137 = 1918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1918

Therefore, the GCF of Fractions 7999/14,3917/274 is 1/1918

Least Common Multiple of 14,274 with GCF Formula

Least Common Multiple of 14,274 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 14,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,274) = 2

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

GCF(14,274) x common factors =2 x 1 = 2

LCM(14,274) = ( 14 × 274 ) / 2

LCM(14,274) = 3836 / 2

LCM(14,274) = 1918


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 7999/14, 3917/274

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 7999/14, 3917/274?

Answer: GCF of Numerators as per given numbers 7999/14, 3917/274 is

GCF of Numerators i.e. for 7999,3917 is 1

LCM of denominators i.e. for 14,274 is 1918.

Thus, GCF of Fractions is 1/1918.Finally, GCF of Fractions for 7999/14, 3917/274 is 1/1918.