Greatest Common Factor of 5/75, 96/78, 58/140, 953/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/75, 96/78, 58/140, 953/998

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 5/75,96/78,58/140,953/998

Given fractions are 5/75,96/78,58/140,953/998

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 5,96,58,953

Greatest Common Factor of Numerators i.e. GCF of 5,96,58,953 is 1 .

LCM of Denominators means LCM of 75,78,140,998 as per the given fractions.

LCM of 75,78,140,998 is 13622700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,96,58,953

GCF of Fractions 5/75,96/78,58/140,953/998 is 1/13622700

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

Greatest Common Factor of 5,96,58,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,96,58,953 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 5,96,58,953 . The biggest common factor number is the GCF number.
So the greatest common factor 5,96,58,953 is 1.

Lets's calculate LCM of 75,78,140,998

2 75, 78, 140, 998
3 75, 39, 70, 499
5 25, 13, 70, 499
5, 13, 14, 499

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 13 x 14 x 499 = 13622700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13622700

Therefore, the GCF of Fractions 5/75,96/78,58/140,953/998 is 1/13622700

Least Common Multiple of 75,78,140,998 with GCF Formula

Least Common Multiple of 75,78,140,998 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 75,78,140,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,78,140,998) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(75,78,140,998) x common factors =1 x 60 = 60

LCM(75,78,140,998) = ( 75 × 78 × 140 × 998 ) / 60

LCM(75,78,140,998) = 817362000 / 60

LCM(75,78,140,998) = 13622700


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 5/75, 96/78, 58/140, 953/998

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 5/75, 96/78, 58/140, 953/998?

Answer: GCF of Numerators as per given numbers 5/75, 96/78, 58/140, 953/998 is

GCF of Numerators i.e. for 5,96,58,953 is 1

LCM of denominators i.e. for 75,78,140,998 is 13622700.

Thus, GCF of Fractions is 1/13622700.Finally, GCF of Fractions for 5/75, 96/78, 58/140, 953/998 is 1/13622700.