Greatest Common Factor of 9541/960, 3780/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9541/960, 3780/791

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 9541/960,3780/791

Given fractions are 9541/960,3780/791

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 9541,3780

Greatest Common Factor of Numerators i.e. GCF of 9541,3780 is 7 .

LCM of Denominators means LCM of 960,791 as per the given fractions.

LCM of 960,791 is 759360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9541,3780

GCF of Fractions 9541/960,3780/791 is 7/759360

7 9541, 3780
1363, 540

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9541,3780 By Matching Biggest Common Factor Method

Greatest Common Factor of 9541,3780 By Matching Biggest Common Factor Method

Factors of 9541

List of positive integer factors of 9541 that divides 9541 without a remainder.

1,7,29,47,203,329,1363,9541

Factors of 3780

List of positive integer factors of 3780 that divides 3780 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780

Greatest Common Factor

We found the factors 9541,3780 . The biggest common factor number is the GCF number.
So the greatest common factor 9541,3780 is 7.

Lets's calculate LCM of 960,791

Given numbers has no common factors except 1. So, there LCM is their product i.e 759360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/759360

Therefore, the GCF of Fractions 9541/960,3780/791 is 7/759360

Least Common Multiple of 960,791 with GCF Formula

Least Common Multiple of 960,791 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 960,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,791) = 1

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

GCF(960,791) x common factors =1 x 1 = 1

LCM(960,791) = ( 960 × 791 ) / 1

LCM(960,791) = 759360 / 1

LCM(960,791) = 759360


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 9541/960, 3780/791

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 9541/960, 3780/791?

Answer: GCF of Numerators as per given numbers 9541/960, 3780/791 is

GCF of Numerators i.e. for 9541,3780 is 7

LCM of denominators i.e. for 960,791 is 759360.

Thus, GCF of Fractions is 7/759360.Finally, GCF of Fractions for 9541/960, 3780/791 is 7/759360.