Greatest Common Factor of 8/75, 98/26, 37/860, 494/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/75, 98/26, 37/860, 494/129

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 8/75,98/26,37/860,494/129

Given fractions are 8/75,98/26,37/860,494/129

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 8,98,37,494

Greatest Common Factor of Numerators i.e. GCF of 8,98,37,494 is 1 .

LCM of Denominators means LCM of 75,26,860,129 as per the given fractions.

LCM of 75,26,860,129 is 167700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,98,37,494

GCF of Fractions 8/75,98/26,37/860,494/129 is 1/167700

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

Greatest Common Factor of 8,98,37,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,98,37,494 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 98

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

1,2,7,14,49,98

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 8,98,37,494 . The biggest common factor number is the GCF number.
So the greatest common factor 8,98,37,494 is 1.

Lets's calculate LCM of 75,26,860,129

2 75, 26, 860, 129
3 75, 13, 430, 129
5 25, 13, 430, 43
43 5, 13, 86, 43
5, 13, 2, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 43 x 5 x 13 x 2 x 1 = 167700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167700

Therefore, the GCF of Fractions 8/75,98/26,37/860,494/129 is 1/167700

Least Common Multiple of 75,26,860,129 with GCF Formula

Least Common Multiple of 75,26,860,129 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 75,26,860,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,26,860,129) = 1

common factors(in case of two or more numbers have common factors) = 1290

GCF(75,26,860,129) x common factors =1 x 1290 = 1290

LCM(75,26,860,129) = ( 75 × 26 × 860 × 129 ) / 1290

LCM(75,26,860,129) = 216333000 / 1290

LCM(75,26,860,129) = 167700


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 8/75, 98/26, 37/860, 494/129

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 8/75, 98/26, 37/860, 494/129?

Answer: GCF of Numerators as per given numbers 8/75, 98/26, 37/860, 494/129 is

GCF of Numerators i.e. for 8,98,37,494 is 1

LCM of denominators i.e. for 75,26,860,129 is 167700.

Thus, GCF of Fractions is 1/167700.Finally, GCF of Fractions for 8/75, 98/26, 37/860, 494/129 is 1/167700.