Greatest Common Factor of 307/968, 986/472, 101/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 307/968, 986/472, 101/847

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 307/968,986/472,101/847

Given fractions are 307/968,986/472,101/847

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 307,986,101

Greatest Common Factor of Numerators i.e. GCF of 307,986,101 is 1 .

LCM of Denominators means LCM of 968,472,847 as per the given fractions.

LCM of 968,472,847 is 399784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 307,986,101

GCF of Fractions 307/968,986/472,101/847 is 1/399784

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

Greatest Common Factor of 307,986,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,986,101 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 307,986,101 . The biggest common factor number is the GCF number.
So the greatest common factor 307,986,101 is 1.

Lets's calculate LCM of 968,472,847

2 968, 472, 847
2 484, 236, 847
2 242, 118, 847
11 121, 59, 847
11 11, 59, 77
1, 59, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 11 x 1 x 59 x 7 = 399784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/399784

Therefore, the GCF of Fractions 307/968,986/472,101/847 is 1/399784

Least Common Multiple of 968,472,847 with GCF Formula

Least Common Multiple of 968,472,847 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 968,472,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,472,847) = 1

common factors(in case of two or more numbers have common factors) = 968

GCF(968,472,847) x common factors =1 x 968 = 968

LCM(968,472,847) = ( 968 × 472 × 847 ) / 968

LCM(968,472,847) = 386990912 / 968

LCM(968,472,847) = 399784


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 307/968, 986/472, 101/847

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 307/968, 986/472, 101/847?

Answer: GCF of Numerators as per given numbers 307/968, 986/472, 101/847 is

GCF of Numerators i.e. for 307,986,101 is 1

LCM of denominators i.e. for 968,472,847 is 399784.

Thus, GCF of Fractions is 1/399784.Finally, GCF of Fractions for 307/968, 986/472, 101/847 is 1/399784.