Greatest Common Factor of 542/65, 8130/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 542/65, 8130/510

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 542/65,8130/510

Given fractions are 542/65,8130/510

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 542,8130

Greatest Common Factor of Numerators i.e. GCF of 542,8130 is 542 .

LCM of Denominators means LCM of 65,510 as per the given fractions.

LCM of 65,510 is 6630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 542,8130

GCF of Fractions 542/65,8130/510 is 542/6630

2 542, 8130
271 271, 4065
1, 15

∴ So the GCF of the given numbers is 2 x 271 = 542

Greatest Common Factor of 542,8130 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,8130 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 8130

List of positive integer factors of 8130 that divides 8130 without a remainder.

1,2,3,5,6,10,15,30,271,542,813,1355,1626,2710,4065,8130

Greatest Common Factor

We found the factors 542,8130 . The biggest common factor number is the GCF number.
So the greatest common factor 542,8130 is 542.

Lets's calculate LCM of 65,510

5 65, 510
13, 102

∴ So the LCM of the given numbers is 5 x 13 x 102 = 6630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 542/6630

Therefore, the GCF of Fractions 542/65,8130/510 is 542/6630

Least Common Multiple of 65,510 with GCF Formula

Least Common Multiple of 65,510 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 65,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,510) = 5

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

GCF(65,510) x common factors =5 x 1 = 5

LCM(65,510) = ( 65 × 510 ) / 5

LCM(65,510) = 33150 / 5

LCM(65,510) = 6630


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 542/65, 8130/510

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 542/65, 8130/510?

Answer: GCF of Numerators as per given numbers 542/65, 8130/510 is

GCF of Numerators i.e. for 542,8130 is 542

LCM of denominators i.e. for 65,510 is 6630.

Thus, GCF of Fractions is 542/6630.Finally, GCF of Fractions for 542/65, 8130/510 is 542/6630.