Greatest Common Factor of 75/54, 47/77, 917/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/54, 47/77, 917/611

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 75/54,47/77,917/611

Given fractions are 75/54,47/77,917/611

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 75,47,917

Greatest Common Factor of Numerators i.e. GCF of 75,47,917 is 1 .

LCM of Denominators means LCM of 54,77,611 as per the given fractions.

LCM of 54,77,611 is 2540538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,47,917

GCF of Fractions 75/54,47/77,917/611 is 1/2540538

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

Greatest Common Factor of 75,47,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,47,917 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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 75,47,917 . The biggest common factor number is the GCF number.
So the greatest common factor 75,47,917 is 1.

Lets's calculate LCM of 54,77,611

Given numbers has no common factors except 1. So, there LCM is their product i.e 2540538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2540538

Therefore, the GCF of Fractions 75/54,47/77,917/611 is 1/2540538

Least Common Multiple of 54,77,611 with GCF Formula

Least Common Multiple of 54,77,611 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 54,77,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,77,611) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(54,77,611) x common factors =1 x 1 = 1

LCM(54,77,611) = ( 54 × 77 × 611 ) / 1

LCM(54,77,611) = 2540538 / 1

LCM(54,77,611) = 2540538


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 75/54, 47/77, 917/611

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 75/54, 47/77, 917/611?

Answer: GCF of Numerators as per given numbers 75/54, 47/77, 917/611 is

GCF of Numerators i.e. for 75,47,917 is 1

LCM of denominators i.e. for 54,77,611 is 2540538.

Thus, GCF of Fractions is 1/2540538.Finally, GCF of Fractions for 75/54, 47/77, 917/611 is 1/2540538.