Greatest Common Factor of 3908/35, 7876/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3908/35, 7876/155

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 3908/35,7876/155

Given fractions are 3908/35,7876/155

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 3908,7876

Greatest Common Factor of Numerators i.e. GCF of 3908,7876 is 4 .

LCM of Denominators means LCM of 35,155 as per the given fractions.

LCM of 35,155 is 1085 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3908,7876

GCF of Fractions 3908/35,7876/155 is 4/1085

2 3908, 7876
2 1954, 3938
977, 1969

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3908,7876 By Matching Biggest Common Factor Method

Greatest Common Factor of 3908,7876 By Matching Biggest Common Factor Method

Factors of 3908

List of positive integer factors of 3908 that divides 3908 without a remainder.

1,2,4,977,1954,3908

Factors of 7876

List of positive integer factors of 7876 that divides 7876 without a remainder.

1,2,4,11,22,44,179,358,716,1969,3938,7876

Greatest Common Factor

We found the factors 3908,7876 . The biggest common factor number is the GCF number.
So the greatest common factor 3908,7876 is 4.

Lets's calculate LCM of 35,155

5 35, 155
7, 31

∴ So the LCM of the given numbers is 5 x 7 x 31 = 1085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1085

Therefore, the GCF of Fractions 3908/35,7876/155 is 4/1085

Least Common Multiple of 35,155 with GCF Formula

Least Common Multiple of 35,155 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 35,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,155) = 5

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

GCF(35,155) x common factors =5 x 1 = 5

LCM(35,155) = ( 35 × 155 ) / 5

LCM(35,155) = 5425 / 5

LCM(35,155) = 1085


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 3908/35, 7876/155

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 3908/35, 7876/155?

Answer: GCF of Numerators as per given numbers 3908/35, 7876/155 is

GCF of Numerators i.e. for 3908,7876 is 4

LCM of denominators i.e. for 35,155 is 1085.

Thus, GCF of Fractions is 4/1085.Finally, GCF of Fractions for 3908/35, 7876/155 is 4/1085.