Greatest Common Factor of 987/508, 413/185, 526/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 987/508, 413/185, 526/381

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 987/508,413/185,526/381

Given fractions are 987/508,413/185,526/381

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 987,413,526

Greatest Common Factor of Numerators i.e. GCF of 987,413,526 is 1 .

LCM of Denominators means LCM of 508,185,381 as per the given fractions.

LCM of 508,185,381 is 281940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 987,413,526

GCF of Fractions 987/508,413/185,526/381 is 1/281940

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

Greatest Common Factor of 987,413,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,413,526 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 987,413,526 . The biggest common factor number is the GCF number.
So the greatest common factor 987,413,526 is 1.

Lets's calculate LCM of 508,185,381

127 508, 185, 381
4, 185, 3

∴ So the LCM of the given numbers is 127 x 4 x 185 x 3 = 281940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281940

Therefore, the GCF of Fractions 987/508,413/185,526/381 is 1/281940

Least Common Multiple of 508,185,381 with GCF Formula

Least Common Multiple of 508,185,381 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 508,185,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,185,381) = 1

common factors(in case of two or more numbers have common factors) = 127

GCF(508,185,381) x common factors =1 x 127 = 127

LCM(508,185,381) = ( 508 × 185 × 381 ) / 127

LCM(508,185,381) = 35806380 / 127

LCM(508,185,381) = 281940


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 987/508, 413/185, 526/381

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 987/508, 413/185, 526/381?

Answer: GCF of Numerators as per given numbers 987/508, 413/185, 526/381 is

GCF of Numerators i.e. for 987,413,526 is 1

LCM of denominators i.e. for 508,185,381 is 281940.

Thus, GCF of Fractions is 1/281940.Finally, GCF of Fractions for 987/508, 413/185, 526/381 is 1/281940.