Greatest Common Factor of 2835/891, 9779/4077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2835/891, 9779/4077

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 2835/891,9779/4077

Given fractions are 2835/891,9779/4077

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 2835,9779

Greatest Common Factor of Numerators i.e. GCF of 2835,9779 is 7 .

LCM of Denominators means LCM of 891,4077 as per the given fractions.

LCM of 891,4077 is 134541 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2835,9779

GCF of Fractions 2835/891,9779/4077 is 7/134541

7 2835, 9779
405, 1397

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

Greatest Common Factor of 2835,9779 By Matching Biggest Common Factor Method

Greatest Common Factor of 2835,9779 By Matching Biggest Common Factor Method

Factors of 2835

List of positive integer factors of 2835 that divides 2835 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,315,405,567,945,2835

Factors of 9779

List of positive integer factors of 9779 that divides 9779 without a remainder.

1,7,11,77,127,889,1397,9779

Greatest Common Factor

We found the factors 2835,9779 . The biggest common factor number is the GCF number.
So the greatest common factor 2835,9779 is 7.

Lets's calculate LCM of 891,4077

3 891, 4077
3 297, 1359
3 99, 453
33, 151

∴ So the LCM of the given numbers is 3 x 3 x 3 x 33 x 151 = 134541

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/134541

Therefore, the GCF of Fractions 2835/891,9779/4077 is 7/134541

Least Common Multiple of 891,4077 with GCF Formula

Least Common Multiple of 891,4077 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 891,4077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,4077) = 27

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

GCF(891,4077) x common factors =27 x 1 = 27

LCM(891,4077) = ( 891 × 4077 ) / 27

LCM(891,4077) = 3632607 / 27

LCM(891,4077) = 134541


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 2835/891, 9779/4077

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 2835/891, 9779/4077?

Answer: GCF of Numerators as per given numbers 2835/891, 9779/4077 is

GCF of Numerators i.e. for 2835,9779 is 7

LCM of denominators i.e. for 891,4077 is 134541.

Thus, GCF of Fractions is 7/134541.Finally, GCF of Fractions for 2835/891, 9779/4077 is 7/134541.