Greatest Common Factor of 6/68, 28/49, 91/298, 347/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/68, 28/49, 91/298, 347/902

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 6/68,28/49,91/298,347/902

Given fractions are 6/68,28/49,91/298,347/902

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 6,28,91,347

Greatest Common Factor of Numerators i.e. GCF of 6,28,91,347 is 1 .

LCM of Denominators means LCM of 68,49,298,902 as per the given fractions.

LCM of 68,49,298,902 is 223907068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,28,91,347

GCF of Fractions 6/68,28/49,91/298,347/902 is 1/223907068

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

Greatest Common Factor of 6,28,91,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,28,91,347 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 6,28,91,347 . The biggest common factor number is the GCF number.
So the greatest common factor 6,28,91,347 is 1.

Lets's calculate LCM of 68,49,298,902

2 68, 49, 298, 902
34, 49, 149, 451

∴ So the LCM of the given numbers is 2 x 34 x 49 x 149 x 451 = 223907068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223907068

Therefore, the GCF of Fractions 6/68,28/49,91/298,347/902 is 1/223907068

Least Common Multiple of 68,49,298,902 with GCF Formula

Least Common Multiple of 68,49,298,902 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 68,49,298,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,49,298,902) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,49,298,902) x common factors =1 x 4 = 4

LCM(68,49,298,902) = ( 68 × 49 × 298 × 902 ) / 4

LCM(68,49,298,902) = 895628272 / 4

LCM(68,49,298,902) = 223907068


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 6/68, 28/49, 91/298, 347/902

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 6/68, 28/49, 91/298, 347/902?

Answer: GCF of Numerators as per given numbers 6/68, 28/49, 91/298, 347/902 is

GCF of Numerators i.e. for 6,28,91,347 is 1

LCM of denominators i.e. for 68,49,298,902 is 223907068.

Thus, GCF of Fractions is 1/223907068.Finally, GCF of Fractions for 6/68, 28/49, 91/298, 347/902 is 1/223907068.