Greatest Common Factor of 498/520, 1061/6240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 498/520, 1061/6240

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 498/520,1061/6240

Given fractions are 498/520,1061/6240

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 498,1061

Greatest Common Factor of Numerators i.e. GCF of 498,1061 is 1 .

LCM of Denominators means LCM of 520,6240 as per the given fractions.

LCM of 520,6240 is 6240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 498,1061

GCF of Fractions 498/520,1061/6240 is 1/6240

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

Greatest Common Factor of 498,1061 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,1061 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 1061

List of positive integer factors of 1061 that divides 1061 without a remainder.

1,1061

Greatest Common Factor

We found the factors 498,1061 . The biggest common factor number is the GCF number.
So the greatest common factor 498,1061 is 1.

Lets's calculate LCM of 520,6240

2 520, 6240
2 260, 3120
2 130, 1560
5 65, 780
13 13, 156
1, 12

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 13 x 1 x 12 = 6240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6240

Therefore, the GCF of Fractions 498/520,1061/6240 is 1/6240

Least Common Multiple of 520,6240 with GCF Formula

Least Common Multiple of 520,6240 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 520,6240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,6240) = 520

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

GCF(520,6240) x common factors =520 x 1 = 520

LCM(520,6240) = ( 520 × 6240 ) / 520

LCM(520,6240) = 3244800 / 520

LCM(520,6240) = 6240


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 498/520, 1061/6240

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 498/520, 1061/6240?

Answer: GCF of Numerators as per given numbers 498/520, 1061/6240 is

GCF of Numerators i.e. for 498,1061 is 1

LCM of denominators i.e. for 520,6240 is 6240.

Thus, GCF of Fractions is 1/6240.Finally, GCF of Fractions for 498/520, 1061/6240 is 1/6240.