Greatest Common Factor of 939/908, 3786/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 939/908, 3786/112

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 939/908,3786/112

Given fractions are 939/908,3786/112

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 939,3786

Greatest Common Factor of Numerators i.e. GCF of 939,3786 is 3 .

LCM of Denominators means LCM of 908,112 as per the given fractions.

LCM of 908,112 is 25424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 939,3786

GCF of Fractions 939/908,3786/112 is 3/25424

3 939, 3786
313, 1262

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 939,3786 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,3786 By Matching Biggest Common Factor Method

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 3786

List of positive integer factors of 3786 that divides 3786 without a remainder.

1,2,3,6,631,1262,1893,3786

Greatest Common Factor

We found the factors 939,3786 . The biggest common factor number is the GCF number.
So the greatest common factor 939,3786 is 3.

Lets's calculate LCM of 908,112

2 908, 112
2 454, 56
227, 28

∴ So the LCM of the given numbers is 2 x 2 x 227 x 28 = 25424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25424

Therefore, the GCF of Fractions 939/908,3786/112 is 3/25424

Least Common Multiple of 908,112 with GCF Formula

Least Common Multiple of 908,112 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 908,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,112) = 4

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

GCF(908,112) x common factors =4 x 1 = 4

LCM(908,112) = ( 908 × 112 ) / 4

LCM(908,112) = 101696 / 4

LCM(908,112) = 25424


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 939/908, 3786/112

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 939/908, 3786/112?

Answer: GCF of Numerators as per given numbers 939/908, 3786/112 is

GCF of Numerators i.e. for 939,3786 is 3

LCM of denominators i.e. for 908,112 is 25424.

Thus, GCF of Fractions is 3/25424.Finally, GCF of Fractions for 939/908, 3786/112 is 3/25424.