Greatest Common Factor of 877/30, 107/55, 936/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 877/30, 107/55, 936/625

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 877/30,107/55,936/625

Given fractions are 877/30,107/55,936/625

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 877,107,936

Greatest Common Factor of Numerators i.e. GCF of 877,107,936 is 1 .

LCM of Denominators means LCM of 30,55,625 as per the given fractions.

LCM of 30,55,625 is 41250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 877,107,936

GCF of Fractions 877/30,107/55,936/625 is 1/41250

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

Greatest Common Factor of 877,107,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,107,936 By Matching Biggest Common Factor Method

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 877,107,936 . The biggest common factor number is the GCF number.
So the greatest common factor 877,107,936 is 1.

Lets's calculate LCM of 30,55,625

5 30, 55, 625
6, 11, 125

∴ So the LCM of the given numbers is 5 x 6 x 11 x 125 = 41250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41250

Therefore, the GCF of Fractions 877/30,107/55,936/625 is 1/41250

Least Common Multiple of 30,55,625 with GCF Formula

Least Common Multiple of 30,55,625 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 30,55,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,55,625) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(30,55,625) x common factors =5 x 5 = 25

LCM(30,55,625) = ( 30 × 55 × 625 ) / 25

LCM(30,55,625) = 1031250 / 25

LCM(30,55,625) = 41250


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 877/30, 107/55, 936/625

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 877/30, 107/55, 936/625?

Answer: GCF of Numerators as per given numbers 877/30, 107/55, 936/625 is

GCF of Numerators i.e. for 877,107,936 is 1

LCM of denominators i.e. for 30,55,625 is 41250.

Thus, GCF of Fractions is 1/41250.Finally, GCF of Fractions for 877/30, 107/55, 936/625 is 1/41250.