Greatest Common Factor of 5325/963, 8530/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5325/963, 8530/513

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 5325/963,8530/513

Given fractions are 5325/963,8530/513

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 5325,8530

Greatest Common Factor of Numerators i.e. GCF of 5325,8530 is 5 .

LCM of Denominators means LCM of 963,513 as per the given fractions.

LCM of 963,513 is 54891 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5325,8530

GCF of Fractions 5325/963,8530/513 is 5/54891

5 5325, 8530
1065, 1706

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5325,8530 By Matching Biggest Common Factor Method

Greatest Common Factor of 5325,8530 By Matching Biggest Common Factor Method

Factors of 5325

List of positive integer factors of 5325 that divides 5325 without a remainder.

1,3,5,15,25,71,75,213,355,1065,1775,5325

Factors of 8530

List of positive integer factors of 8530 that divides 8530 without a remainder.

1,2,5,10,853,1706,4265,8530

Greatest Common Factor

We found the factors 5325,8530 . The biggest common factor number is the GCF number.
So the greatest common factor 5325,8530 is 5.

Lets's calculate LCM of 963,513

3 963, 513
3 321, 171
107, 57

∴ So the LCM of the given numbers is 3 x 3 x 107 x 57 = 54891

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/54891

Therefore, the GCF of Fractions 5325/963,8530/513 is 5/54891

Least Common Multiple of 963,513 with GCF Formula

Least Common Multiple of 963,513 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 963,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,513) = 9

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

GCF(963,513) x common factors =9 x 1 = 9

LCM(963,513) = ( 963 × 513 ) / 9

LCM(963,513) = 494019 / 9

LCM(963,513) = 54891


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 5325/963, 8530/513

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 5325/963, 8530/513?

Answer: GCF of Numerators as per given numbers 5325/963, 8530/513 is

GCF of Numerators i.e. for 5325,8530 is 5

LCM of denominators i.e. for 963,513 is 54891.

Thus, GCF of Fractions is 5/54891.Finally, GCF of Fractions for 5325/963, 8530/513 is 5/54891.