Greatest Common Factor of 4267/356, 5761/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4267/356, 5761/540

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 4267/356,5761/540

Given fractions are 4267/356,5761/540

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 4267,5761

Greatest Common Factor of Numerators i.e. GCF of 4267,5761 is 1 .

LCM of Denominators means LCM of 356,540 as per the given fractions.

LCM of 356,540 is 48060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4267,5761

GCF of Fractions 4267/356,5761/540 is 1/48060

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

Greatest Common Factor of 4267,5761 By Matching Biggest Common Factor Method

Greatest Common Factor of 4267,5761 By Matching Biggest Common Factor Method

Factors of 4267

List of positive integer factors of 4267 that divides 4267 without a remainder.

1,17,251,4267

Factors of 5761

List of positive integer factors of 5761 that divides 5761 without a remainder.

1,7,823,5761

Greatest Common Factor

We found the factors 4267,5761 . The biggest common factor number is the GCF number.
So the greatest common factor 4267,5761 is 1.

Lets's calculate LCM of 356,540

2 356, 540
2 178, 270
89, 135

∴ So the LCM of the given numbers is 2 x 2 x 89 x 135 = 48060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48060

Therefore, the GCF of Fractions 4267/356,5761/540 is 1/48060

Least Common Multiple of 356,540 with GCF Formula

Least Common Multiple of 356,540 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 356,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,540) = 4

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

GCF(356,540) x common factors =4 x 1 = 4

LCM(356,540) = ( 356 × 540 ) / 4

LCM(356,540) = 192240 / 4

LCM(356,540) = 48060


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 4267/356, 5761/540

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 4267/356, 5761/540?

Answer: GCF of Numerators as per given numbers 4267/356, 5761/540 is

GCF of Numerators i.e. for 4267,5761 is 1

LCM of denominators i.e. for 356,540 is 48060.

Thus, GCF of Fractions is 1/48060.Finally, GCF of Fractions for 4267/356, 5761/540 is 1/48060.