Greatest Common Factor of 7315/963, 5841/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7315/963, 5841/764

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 7315/963,5841/764

Given fractions are 7315/963,5841/764

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 7315,5841

Greatest Common Factor of Numerators i.e. GCF of 7315,5841 is 11 .

LCM of Denominators means LCM of 963,764 as per the given fractions.

LCM of 963,764 is 735732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7315,5841

GCF of Fractions 7315/963,5841/764 is 11/735732

11 7315, 5841
665, 531

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

Greatest Common Factor of 7315,5841 By Matching Biggest Common Factor Method

Greatest Common Factor of 7315,5841 By Matching Biggest Common Factor Method

Factors of 7315

List of positive integer factors of 7315 that divides 7315 without a remainder.

1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315

Factors of 5841

List of positive integer factors of 5841 that divides 5841 without a remainder.

1,3,9,11,33,59,99,177,531,649,1947,5841

Greatest Common Factor

We found the factors 7315,5841 . The biggest common factor number is the GCF number.
So the greatest common factor 7315,5841 is 11.

Lets's calculate LCM of 963,764

Given numbers has no common factors except 1. So, there LCM is their product i.e 735732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/735732

Therefore, the GCF of Fractions 7315/963,5841/764 is 11/735732

Least Common Multiple of 963,764 with GCF Formula

Least Common Multiple of 963,764 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 963,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,764) = 1

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

GCF(963,764) x common factors =1 x 1 = 1

LCM(963,764) = ( 963 × 764 ) / 1

LCM(963,764) = 735732 / 1

LCM(963,764) = 735732


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 7315/963, 5841/764

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 7315/963, 5841/764?

Answer: GCF of Numerators as per given numbers 7315/963, 5841/764 is

GCF of Numerators i.e. for 7315,5841 is 11

LCM of denominators i.e. for 963,764 is 735732.

Thus, GCF of Fractions is 11/735732.Finally, GCF of Fractions for 7315/963, 5841/764 is 11/735732.