Greatest Common Factor of 5643/530, 7513/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5643/530, 7513/236

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 5643/530,7513/236

Given fractions are 5643/530,7513/236

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 5643,7513

Greatest Common Factor of Numerators i.e. GCF of 5643,7513 is 11 .

LCM of Denominators means LCM of 530,236 as per the given fractions.

LCM of 530,236 is 62540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5643,7513

GCF of Fractions 5643/530,7513/236 is 11/62540

11 5643, 7513
513, 683

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5643,7513 By Matching Biggest Common Factor Method

Greatest Common Factor of 5643,7513 By Matching Biggest Common Factor Method

Factors of 5643

List of positive integer factors of 5643 that divides 5643 without a remainder.

1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643

Factors of 7513

List of positive integer factors of 7513 that divides 7513 without a remainder.

1,11,683,7513

Greatest Common Factor

We found the factors 5643,7513 . The biggest common factor number is the GCF number.
So the greatest common factor 5643,7513 is 11.

Lets's calculate LCM of 530,236

2 530, 236
265, 118

∴ So the LCM of the given numbers is 2 x 265 x 118 = 62540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/62540

Therefore, the GCF of Fractions 5643/530,7513/236 is 11/62540

Least Common Multiple of 530,236 with GCF Formula

Least Common Multiple of 530,236 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 530,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,236) = 2

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

GCF(530,236) x common factors =2 x 1 = 2

LCM(530,236) = ( 530 × 236 ) / 2

LCM(530,236) = 125080 / 2

LCM(530,236) = 62540


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 5643/530, 7513/236

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 5643/530, 7513/236?

Answer: GCF of Numerators as per given numbers 5643/530, 7513/236 is

GCF of Numerators i.e. for 5643,7513 is 11

LCM of denominators i.e. for 530,236 is 62540.

Thus, GCF of Fractions is 11/62540.Finally, GCF of Fractions for 5643/530, 7513/236 is 11/62540.