Greatest Common Factor of 138/34, 703/51, 895/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 138/34, 703/51, 895/408

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 138/34,703/51,895/408

Given fractions are 138/34,703/51,895/408

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 138,703,895

Greatest Common Factor of Numerators i.e. GCF of 138,703,895 is 1 .

LCM of Denominators means LCM of 34,51,408 as per the given fractions.

LCM of 34,51,408 is 408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 138,703,895

GCF of Fractions 138/34,703/51,895/408 is 1/408

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 138,703,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,703,895 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Greatest Common Factor

We found the factors 138,703,895 . The biggest common factor number is the GCF number.
So the greatest common factor 138,703,895 is 1.

Lets's calculate LCM of 34,51,408

2 34, 51, 408
3 17, 51, 204
17 17, 17, 68
1, 1, 4

∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 1 x 4 = 408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/408

Therefore, the GCF of Fractions 138/34,703/51,895/408 is 1/408

Least Common Multiple of 34,51,408 with GCF Formula

Least Common Multiple of 34,51,408 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 34,51,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,51,408) = 17

common factors(in case of two or more numbers have common factors) = 102

GCF(34,51,408) x common factors =17 x 102 = 1734

LCM(34,51,408) = ( 34 × 51 × 408 ) / 1734

LCM(34,51,408) = 707472 / 1734

LCM(34,51,408) = 408


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 138/34, 703/51, 895/408

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 138/34, 703/51, 895/408?

Answer: GCF of Numerators as per given numbers 138/34, 703/51, 895/408 is

GCF of Numerators i.e. for 138,703,895 is 1

LCM of denominators i.e. for 34,51,408 is 408.

Thus, GCF of Fractions is 1/408.Finally, GCF of Fractions for 138/34, 703/51, 895/408 is 1/408.