Greatest Common Factor of 3836/42, 2779/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3836/42, 2779/542

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 3836/42,2779/542

Given fractions are 3836/42,2779/542

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 3836,2779

Greatest Common Factor of Numerators i.e. GCF of 3836,2779 is 7 .

LCM of Denominators means LCM of 42,542 as per the given fractions.

LCM of 42,542 is 11382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3836,2779

GCF of Fractions 3836/42,2779/542 is 7/11382

7 3836, 2779
548, 397

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

Greatest Common Factor of 3836,2779 By Matching Biggest Common Factor Method

Greatest Common Factor of 3836,2779 By Matching Biggest Common Factor Method

Factors of 3836

List of positive integer factors of 3836 that divides 3836 without a remainder.

1,2,4,7,14,28,137,274,548,959,1918,3836

Factors of 2779

List of positive integer factors of 2779 that divides 2779 without a remainder.

1,7,397,2779

Greatest Common Factor

We found the factors 3836,2779 . The biggest common factor number is the GCF number.
So the greatest common factor 3836,2779 is 7.

Lets's calculate LCM of 42,542

2 42, 542
21, 271

∴ So the LCM of the given numbers is 2 x 21 x 271 = 11382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/11382

Therefore, the GCF of Fractions 3836/42,2779/542 is 7/11382

Least Common Multiple of 42,542 with GCF Formula

Least Common Multiple of 42,542 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 42,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,542) = 2

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

GCF(42,542) x common factors =2 x 1 = 2

LCM(42,542) = ( 42 × 542 ) / 2

LCM(42,542) = 22764 / 2

LCM(42,542) = 11382


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 3836/42, 2779/542

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 3836/42, 2779/542?

Answer: GCF of Numerators as per given numbers 3836/42, 2779/542 is

GCF of Numerators i.e. for 3836,2779 is 7

LCM of denominators i.e. for 42,542 is 11382.

Thus, GCF of Fractions is 7/11382.Finally, GCF of Fractions for 3836/42, 2779/542 is 7/11382.