Greatest Common Factor of 75/77, 939/70, 500/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/77, 939/70, 500/675

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 75/77,939/70,500/675

Given fractions are 75/77,939/70,500/675

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 75,939,500

Greatest Common Factor of Numerators i.e. GCF of 75,939,500 is 1 .

LCM of Denominators means LCM of 77,70,675 as per the given fractions.

LCM of 77,70,675 is 103950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,939,500

GCF of Fractions 75/77,939/70,500/675 is 1/103950

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

Greatest Common Factor of 75,939,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,939,500 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 75,939,500 . The biggest common factor number is the GCF number.
So the greatest common factor 75,939,500 is 1.

Lets's calculate LCM of 77,70,675

5 77, 70, 675
7 77, 14, 135
11, 2, 135

∴ So the LCM of the given numbers is 5 x 7 x 11 x 2 x 135 = 103950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103950

Therefore, the GCF of Fractions 75/77,939/70,500/675 is 1/103950

Least Common Multiple of 77,70,675 with GCF Formula

Least Common Multiple of 77,70,675 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 77,70,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,70,675) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(77,70,675) x common factors =1 x 35 = 35

LCM(77,70,675) = ( 77 × 70 × 675 ) / 35

LCM(77,70,675) = 3638250 / 35

LCM(77,70,675) = 103950


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 75/77, 939/70, 500/675

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 75/77, 939/70, 500/675?

Answer: GCF of Numerators as per given numbers 75/77, 939/70, 500/675 is

GCF of Numerators i.e. for 75,939,500 is 1

LCM of denominators i.e. for 77,70,675 is 103950.

Thus, GCF of Fractions is 1/103950.Finally, GCF of Fractions for 75/77, 939/70, 500/675 is 1/103950.