Greatest Common Factor of 2638/616, 3782/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2638/616, 3782/839

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 2638/616,3782/839

Given fractions are 2638/616,3782/839

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 2638,3782

Greatest Common Factor of Numerators i.e. GCF of 2638,3782 is 2 .

LCM of Denominators means LCM of 616,839 as per the given fractions.

LCM of 616,839 is 516824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2638,3782

GCF of Fractions 2638/616,3782/839 is 2/516824

2 2638, 3782
1319, 1891

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2638,3782 By Matching Biggest Common Factor Method

Greatest Common Factor of 2638,3782 By Matching Biggest Common Factor Method

Factors of 2638

List of positive integer factors of 2638 that divides 2638 without a remainder.

1,2,1319,2638

Factors of 3782

List of positive integer factors of 3782 that divides 3782 without a remainder.

1,2,31,61,62,122,1891,3782

Greatest Common Factor

We found the factors 2638,3782 . The biggest common factor number is the GCF number.
So the greatest common factor 2638,3782 is 2.

Lets's calculate LCM of 616,839

Given numbers has no common factors except 1. So, there LCM is their product i.e 516824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/516824

Therefore, the GCF of Fractions 2638/616,3782/839 is 2/516824

Least Common Multiple of 616,839 with GCF Formula

Least Common Multiple of 616,839 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 616,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,839) = 1

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

GCF(616,839) x common factors =1 x 1 = 1

LCM(616,839) = ( 616 × 839 ) / 1

LCM(616,839) = 516824 / 1

LCM(616,839) = 516824


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 2638/616, 3782/839

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 2638/616, 3782/839?

Answer: GCF of Numerators as per given numbers 2638/616, 3782/839 is

GCF of Numerators i.e. for 2638,3782 is 2

LCM of denominators i.e. for 616,839 is 516824.

Thus, GCF of Fractions is 2/516824.Finally, GCF of Fractions for 2638/616, 3782/839 is 2/516824.