Greatest Common Factor of 54/795, 35/974, 518/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/795, 35/974, 518/151

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 54/795,35/974,518/151

Given fractions are 54/795,35/974,518/151

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 54,35,518

Greatest Common Factor of Numerators i.e. GCF of 54,35,518 is 1 .

LCM of Denominators means LCM of 795,974,151 as per the given fractions.

LCM of 795,974,151 is 116923830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,35,518

GCF of Fractions 54/795,35/974,518/151 is 1/116923830

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

Greatest Common Factor of 54,35,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,35,518 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 54,35,518 . The biggest common factor number is the GCF number.
So the greatest common factor 54,35,518 is 1.

Lets's calculate LCM of 795,974,151

Given numbers has no common factors except 1. So, there LCM is their product i.e 116923830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116923830

Therefore, the GCF of Fractions 54/795,35/974,518/151 is 1/116923830

Least Common Multiple of 795,974,151 with GCF Formula

Least Common Multiple of 795,974,151 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 795,974,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,974,151) = 1

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

GCF(795,974,151) x common factors =1 x 1 = 1

LCM(795,974,151) = ( 795 × 974 × 151 ) / 1

LCM(795,974,151) = 116923830 / 1

LCM(795,974,151) = 116923830


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 54/795, 35/974, 518/151

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 54/795, 35/974, 518/151?

Answer: GCF of Numerators as per given numbers 54/795, 35/974, 518/151 is

GCF of Numerators i.e. for 54,35,518 is 1

LCM of denominators i.e. for 795,974,151 is 116923830.

Thus, GCF of Fractions is 1/116923830.Finally, GCF of Fractions for 54/795, 35/974, 518/151 is 1/116923830.