Greatest Common Factor of 5/75, 89/98, 79/831, 718/881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/75, 89/98, 79/831, 718/881

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 5/75,89/98,79/831,718/881

Given fractions are 5/75,89/98,79/831,718/881

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 5,89,79,718

Greatest Common Factor of Numerators i.e. GCF of 5,89,79,718 is 1 .

LCM of Denominators means LCM of 75,98,831,881 as per the given fractions.

LCM of 75,98,831,881 is 1793671950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,89,79,718

GCF of Fractions 5/75,89/98,79/831,718/881 is 1/1793671950

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

Greatest Common Factor of 5,89,79,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,89,79,718 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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 5,89,79,718 . The biggest common factor number is the GCF number.
So the greatest common factor 5,89,79,718 is 1.

Lets's calculate LCM of 75,98,831,881

3 75, 98, 831, 881
25, 98, 277, 881

∴ So the LCM of the given numbers is 3 x 25 x 98 x 277 x 881 = 1793671950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1793671950

Therefore, the GCF of Fractions 5/75,89/98,79/831,718/881 is 1/1793671950

Least Common Multiple of 75,98,831,881 with GCF Formula

Least Common Multiple of 75,98,831,881 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 75,98,831,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,98,831,881) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,98,831,881) x common factors =1 x 3 = 3

LCM(75,98,831,881) = ( 75 × 98 × 831 × 881 ) / 3

LCM(75,98,831,881) = 5381015850 / 3

LCM(75,98,831,881) = 1793671950


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, 89/98, 79/831, 718/881

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, 89/98, 79/831, 718/881?

Answer: GCF of Numerators as per given numbers 5/75, 89/98, 79/831, 718/881 is

GCF of Numerators i.e. for 5,89,79,718 is 1

LCM of denominators i.e. for 75,98,831,881 is 1793671950.

Thus, GCF of Fractions is 1/1793671950.Finally, GCF of Fractions for 5/75, 89/98, 79/831, 718/881 is 1/1793671950.