Greatest Common Factor of 75/68, 887/63, 377/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/68, 887/63, 377/917

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 75/68,887/63,377/917

Given fractions are 75/68,887/63,377/917

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 75,887,377

Greatest Common Factor of Numerators i.e. GCF of 75,887,377 is 1 .

LCM of Denominators means LCM of 68,63,917 as per the given fractions.

LCM of 68,63,917 is 561204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,887,377

GCF of Fractions 75/68,887/63,377/917 is 1/561204

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

Greatest Common Factor of 75,887,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,887,377 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 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 75,887,377 . The biggest common factor number is the GCF number.
So the greatest common factor 75,887,377 is 1.

Lets's calculate LCM of 68,63,917

7 68, 63, 917
68, 9, 131

∴ So the LCM of the given numbers is 7 x 68 x 9 x 131 = 561204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561204

Therefore, the GCF of Fractions 75/68,887/63,377/917 is 1/561204

Least Common Multiple of 68,63,917 with GCF Formula

Least Common Multiple of 68,63,917 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 68,63,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,63,917) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(68,63,917) x common factors =1 x 7 = 7

LCM(68,63,917) = ( 68 × 63 × 917 ) / 7

LCM(68,63,917) = 3928428 / 7

LCM(68,63,917) = 561204


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 75/68, 887/63, 377/917

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 75/68, 887/63, 377/917?

Answer: GCF of Numerators as per given numbers 75/68, 887/63, 377/917 is

GCF of Numerators i.e. for 75,887,377 is 1

LCM of denominators i.e. for 68,63,917 is 561204.

Thus, GCF of Fractions is 1/561204.Finally, GCF of Fractions for 75/68, 887/63, 377/917 is 1/561204.