Greatest Common Factor of 138/75, 852/88, 315/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 138/75, 852/88, 315/671

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 138/75,852/88,315/671

Given fractions are 138/75,852/88,315/671

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 138,852,315

Greatest Common Factor of Numerators i.e. GCF of 138,852,315 is 3 .

LCM of Denominators means LCM of 75,88,671 as per the given fractions.

LCM of 75,88,671 is 402600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 138,852,315

GCF of Fractions 138/75,852/88,315/671 is 3/402600

3 138, 852, 315
46, 284, 105

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

Greatest Common Factor of 138,852,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,852,315 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 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 138,852,315 . The biggest common factor number is the GCF number.
So the greatest common factor 138,852,315 is 3.

Lets's calculate LCM of 75,88,671

11 75, 88, 671
75, 8, 61

∴ So the LCM of the given numbers is 11 x 75 x 8 x 61 = 402600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/402600

Therefore, the GCF of Fractions 138/75,852/88,315/671 is 3/402600

Least Common Multiple of 75,88,671 with GCF Formula

Least Common Multiple of 75,88,671 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 75,88,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,88,671) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(75,88,671) x common factors =1 x 11 = 11

LCM(75,88,671) = ( 75 × 88 × 671 ) / 11

LCM(75,88,671) = 4428600 / 11

LCM(75,88,671) = 402600


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 138/75, 852/88, 315/671

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 138/75, 852/88, 315/671?

Answer: GCF of Numerators as per given numbers 138/75, 852/88, 315/671 is

GCF of Numerators i.e. for 138,852,315 is 3

LCM of denominators i.e. for 75,88,671 is 402600.

Thus, GCF of Fractions is 3/402600.Finally, GCF of Fractions for 138/75, 852/88, 315/671 is 3/402600.