Greatest Common Factor of 516/541, 1300/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/541, 1300/802

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 516/541,1300/802

Given fractions are 516/541,1300/802

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 516,1300

Greatest Common Factor of Numerators i.e. GCF of 516,1300 is 4 .

LCM of Denominators means LCM of 541,802 as per the given fractions.

LCM of 541,802 is 433882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,1300

GCF of Fractions 516/541,1300/802 is 4/433882

2 516, 1300
2 258, 650
129, 325

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 516,1300 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,1300 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 1300

List of positive integer factors of 1300 that divides 1300 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300

Greatest Common Factor

We found the factors 516,1300 . The biggest common factor number is the GCF number.
So the greatest common factor 516,1300 is 4.

Lets's calculate LCM of 541,802

Given numbers has no common factors except 1. So, there LCM is their product i.e 433882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/433882

Therefore, the GCF of Fractions 516/541,1300/802 is 4/433882

Least Common Multiple of 541,802 with GCF Formula

Least Common Multiple of 541,802 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 541,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,802) = 1

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

GCF(541,802) x common factors =1 x 1 = 1

LCM(541,802) = ( 541 × 802 ) / 1

LCM(541,802) = 433882 / 1

LCM(541,802) = 433882


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 516/541, 1300/802

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 516/541, 1300/802?

Answer: GCF of Numerators as per given numbers 516/541, 1300/802 is

GCF of Numerators i.e. for 516,1300 is 4

LCM of denominators i.e. for 541,802 is 433882.

Thus, GCF of Fractions is 4/433882.Finally, GCF of Fractions for 516/541, 1300/802 is 4/433882.