Greatest Common Factor of 98/75, 23/31, 48/26, 51/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/75, 23/31, 48/26, 51/82

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 98/75,23/31,48/26,51/82

Given fractions are 98/75,23/31,48/26,51/82

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 98,23,48,51

Greatest Common Factor of Numerators i.e. GCF of 98,23,48,51 is 1 .

LCM of Denominators means LCM of 75,31,26,82 as per the given fractions.

LCM of 75,31,26,82 is 2478450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,23,48,51

GCF of Fractions 98/75,23/31,48/26,51/82 is 1/2478450

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

Greatest Common Factor of 98,23,48,51 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,23,48,51 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Greatest Common Factor

We found the factors 98,23,48,51 . The biggest common factor number is the GCF number.
So the greatest common factor 98,23,48,51 is 1.

Lets's calculate LCM of 75,31,26,82

2 75, 31, 26, 82
75, 31, 13, 41

∴ So the LCM of the given numbers is 2 x 75 x 31 x 13 x 41 = 2478450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2478450

Therefore, the GCF of Fractions 98/75,23/31,48/26,51/82 is 1/2478450

Least Common Multiple of 75,31,26,82 with GCF Formula

Least Common Multiple of 75,31,26,82 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 75,31,26,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,31,26,82) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(75,31,26,82) x common factors =1 x 2 = 2

LCM(75,31,26,82) = ( 75 × 31 × 26 × 82 ) / 2

LCM(75,31,26,82) = 4956900 / 2

LCM(75,31,26,82) = 2478450


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 98/75, 23/31, 48/26, 51/82

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 98/75, 23/31, 48/26, 51/82?

Answer: GCF of Numerators as per given numbers 98/75, 23/31, 48/26, 51/82 is

GCF of Numerators i.e. for 98,23,48,51 is 1

LCM of denominators i.e. for 75,31,26,82 is 2478450.

Thus, GCF of Fractions is 1/2478450.Finally, GCF of Fractions for 98/75, 23/31, 48/26, 51/82 is 1/2478450.