Greatest Common Factor of 754/499, 8167/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 754/499, 8167/538

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 754/499,8167/538

Given fractions are 754/499,8167/538

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 754,8167

Greatest Common Factor of Numerators i.e. GCF of 754,8167 is 1 .

LCM of Denominators means LCM of 499,538 as per the given fractions.

LCM of 499,538 is 268462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 754,8167

GCF of Fractions 754/499,8167/538 is 1/268462

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

Greatest Common Factor of 754,8167 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,8167 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 8167

List of positive integer factors of 8167 that divides 8167 without a remainder.

1,8167

Greatest Common Factor

We found the factors 754,8167 . The biggest common factor number is the GCF number.
So the greatest common factor 754,8167 is 1.

Lets's calculate LCM of 499,538

Given numbers has no common factors except 1. So, there LCM is their product i.e 268462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268462

Therefore, the GCF of Fractions 754/499,8167/538 is 1/268462

Least Common Multiple of 499,538 with GCF Formula

Least Common Multiple of 499,538 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 499,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,538) = 1

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

GCF(499,538) x common factors =1 x 1 = 1

LCM(499,538) = ( 499 × 538 ) / 1

LCM(499,538) = 268462 / 1

LCM(499,538) = 268462


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 754/499, 8167/538

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 754/499, 8167/538?

Answer: GCF of Numerators as per given numbers 754/499, 8167/538 is

GCF of Numerators i.e. for 754,8167 is 1

LCM of denominators i.e. for 499,538 is 268462.

Thus, GCF of Fractions is 1/268462.Finally, GCF of Fractions for 754/499, 8167/538 is 1/268462.