Greatest Common Factor of 9511/783, 2685/4164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9511/783, 2685/4164

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 9511/783,2685/4164

Given fractions are 9511/783,2685/4164

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 9511,2685

Greatest Common Factor of Numerators i.e. GCF of 9511,2685 is 1 .

LCM of Denominators means LCM of 783,4164 as per the given fractions.

LCM of 783,4164 is 1086804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9511,2685

GCF of Fractions 9511/783,2685/4164 is 1/1086804

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9511,2685 By Matching Biggest Common Factor Method

Greatest Common Factor of 9511,2685 By Matching Biggest Common Factor Method

Factors of 9511

List of positive integer factors of 9511 that divides 9511 without a remainder.

1,9511

Factors of 2685

List of positive integer factors of 2685 that divides 2685 without a remainder.

1,3,5,15,179,537,895,2685

Greatest Common Factor

We found the factors 9511,2685 . The biggest common factor number is the GCF number.
So the greatest common factor 9511,2685 is 1.

Lets's calculate LCM of 783,4164

3 783, 4164
261, 1388

∴ So the LCM of the given numbers is 3 x 261 x 1388 = 1086804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1086804

Therefore, the GCF of Fractions 9511/783,2685/4164 is 1/1086804

Least Common Multiple of 783,4164 with GCF Formula

Least Common Multiple of 783,4164 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 783,4164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,4164) = 3

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

GCF(783,4164) x common factors =3 x 1 = 3

LCM(783,4164) = ( 783 × 4164 ) / 3

LCM(783,4164) = 3260412 / 3

LCM(783,4164) = 1086804


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 9511/783, 2685/4164

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 9511/783, 2685/4164?

Answer: GCF of Numerators as per given numbers 9511/783, 2685/4164 is

GCF of Numerators i.e. for 9511,2685 is 1

LCM of denominators i.e. for 783,4164 is 1086804.

Thus, GCF of Fractions is 1/1086804.Finally, GCF of Fractions for 9511/783, 2685/4164 is 1/1086804.