Greatest Common Factor of 131/538, 888/982, 623/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 131/538, 888/982, 623/807

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 131/538,888/982,623/807

Given fractions are 131/538,888/982,623/807

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 131,888,623

Greatest Common Factor of Numerators i.e. GCF of 131,888,623 is 1 .

LCM of Denominators means LCM of 538,982,807 as per the given fractions.

LCM of 538,982,807 is 792474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 131,888,623

GCF of Fractions 131/538,888/982,623/807 is 1/792474

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

Greatest Common Factor of 131,888,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,888,623 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 131,888,623 . The biggest common factor number is the GCF number.
So the greatest common factor 131,888,623 is 1.

Lets's calculate LCM of 538,982,807

2 538, 982, 807
269 269, 491, 807
1, 491, 3

∴ So the LCM of the given numbers is 2 x 269 x 1 x 491 x 3 = 792474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/792474

Therefore, the GCF of Fractions 131/538,888/982,623/807 is 1/792474

Least Common Multiple of 538,982,807 with GCF Formula

Least Common Multiple of 538,982,807 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 538,982,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,982,807) = 1

common factors(in case of two or more numbers have common factors) = 538

GCF(538,982,807) x common factors =1 x 538 = 538

LCM(538,982,807) = ( 538 × 982 × 807 ) / 538

LCM(538,982,807) = 426351012 / 538

LCM(538,982,807) = 792474


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 131/538, 888/982, 623/807

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 131/538, 888/982, 623/807?

Answer: GCF of Numerators as per given numbers 131/538, 888/982, 623/807 is

GCF of Numerators i.e. for 131,888,623 is 1

LCM of denominators i.e. for 538,982,807 is 792474.

Thus, GCF of Fractions is 1/792474.Finally, GCF of Fractions for 131/538, 888/982, 623/807 is 1/792474.