Greatest Common Factor of 8042/14, 8906/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8042/14, 8906/138

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 8042/14,8906/138

Given fractions are 8042/14,8906/138

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 8042,8906

Greatest Common Factor of Numerators i.e. GCF of 8042,8906 is 2 .

LCM of Denominators means LCM of 14,138 as per the given fractions.

LCM of 14,138 is 966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8042,8906

GCF of Fractions 8042/14,8906/138 is 2/966

2 8042, 8906
4021, 4453

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

Greatest Common Factor of 8042,8906 By Matching Biggest Common Factor Method

Greatest Common Factor of 8042,8906 By Matching Biggest Common Factor Method

Factors of 8042

List of positive integer factors of 8042 that divides 8042 without a remainder.

1,2,4021,8042

Factors of 8906

List of positive integer factors of 8906 that divides 8906 without a remainder.

1,2,61,73,122,146,4453,8906

Greatest Common Factor

We found the factors 8042,8906 . The biggest common factor number is the GCF number.
So the greatest common factor 8042,8906 is 2.

Lets's calculate LCM of 14,138

2 14, 138
7, 69

∴ So the LCM of the given numbers is 2 x 7 x 69 = 966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/966

Therefore, the GCF of Fractions 8042/14,8906/138 is 2/966

Least Common Multiple of 14,138 with GCF Formula

Least Common Multiple of 14,138 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 14,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,138) = 2

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

GCF(14,138) x common factors =2 x 1 = 2

LCM(14,138) = ( 14 × 138 ) / 2

LCM(14,138) = 1932 / 2

LCM(14,138) = 966


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 8042/14, 8906/138

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 8042/14, 8906/138?

Answer: GCF of Numerators as per given numbers 8042/14, 8906/138 is

GCF of Numerators i.e. for 8042,8906 is 2

LCM of denominators i.e. for 14,138 is 966.

Thus, GCF of Fractions is 2/966.Finally, GCF of Fractions for 8042/14, 8906/138 is 2/966.