Greatest Common Factor of 4935/959, 3822/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4935/959, 3822/371

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 4935/959,3822/371

Given fractions are 4935/959,3822/371

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 4935,3822

Greatest Common Factor of Numerators i.e. GCF of 4935,3822 is 21 .

LCM of Denominators means LCM of 959,371 as per the given fractions.

LCM of 959,371 is 50827 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4935,3822

GCF of Fractions 4935/959,3822/371 is 21/50827

3 4935, 3822
7 1645, 1274
235, 182

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 4935,3822 By Matching Biggest Common Factor Method

Greatest Common Factor of 4935,3822 By Matching Biggest Common Factor Method

Factors of 4935

List of positive integer factors of 4935 that divides 4935 without a remainder.

1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935

Factors of 3822

List of positive integer factors of 3822 that divides 3822 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,49,78,91,98,147,182,273,294,546,637,1274,1911,3822

Greatest Common Factor

We found the factors 4935,3822 . The biggest common factor number is the GCF number.
So the greatest common factor 4935,3822 is 21.

Lets's calculate LCM of 959,371

7 959, 371
137, 53

∴ So the LCM of the given numbers is 7 x 137 x 53 = 50827

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/50827

Therefore, the GCF of Fractions 4935/959,3822/371 is 21/50827

Least Common Multiple of 959,371 with GCF Formula

Least Common Multiple of 959,371 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 959,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,371) = 7

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

GCF(959,371) x common factors =7 x 1 = 7

LCM(959,371) = ( 959 × 371 ) / 7

LCM(959,371) = 355789 / 7

LCM(959,371) = 50827


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 4935/959, 3822/371

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 4935/959, 3822/371?

Answer: GCF of Numerators as per given numbers 4935/959, 3822/371 is

GCF of Numerators i.e. for 4935,3822 is 21

LCM of denominators i.e. for 959,371 is 50827.

Thus, GCF of Fractions is 21/50827.Finally, GCF of Fractions for 4935/959, 3822/371 is 21/50827.