Greatest Common Factor of 520/618, 5467/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 520/618, 5467/271

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 520/618,5467/271

Given fractions are 520/618,5467/271

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 520,5467

Greatest Common Factor of Numerators i.e. GCF of 520,5467 is 1 .

LCM of Denominators means LCM of 618,271 as per the given fractions.

LCM of 618,271 is 167478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 520,5467

GCF of Fractions 520/618,5467/271 is 1/167478

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

Greatest Common Factor of 520,5467 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,5467 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 5467

List of positive integer factors of 5467 that divides 5467 without a remainder.

1,7,11,71,77,497,781,5467

Greatest Common Factor

We found the factors 520,5467 . The biggest common factor number is the GCF number.
So the greatest common factor 520,5467 is 1.

Lets's calculate LCM of 618,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 167478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167478

Therefore, the GCF of Fractions 520/618,5467/271 is 1/167478

Least Common Multiple of 618,271 with GCF Formula

Least Common Multiple of 618,271 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 618,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,271) = 1

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

GCF(618,271) x common factors =1 x 1 = 1

LCM(618,271) = ( 618 × 271 ) / 1

LCM(618,271) = 167478 / 1

LCM(618,271) = 167478


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 520/618, 5467/271

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 520/618, 5467/271?

Answer: GCF of Numerators as per given numbers 520/618, 5467/271 is

GCF of Numerators i.e. for 520,5467 is 1

LCM of denominators i.e. for 618,271 is 167478.

Thus, GCF of Fractions is 1/167478.Finally, GCF of Fractions for 520/618, 5467/271 is 1/167478.