Greatest Common Factor of 126/72, 246/85, 839/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 126/72, 246/85, 839/102

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 126/72,246/85,839/102

Given fractions are 126/72,246/85,839/102

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 126,246,839

Greatest Common Factor of Numerators i.e. GCF of 126,246,839 is 1 .

LCM of Denominators means LCM of 72,85,102 as per the given fractions.

LCM of 72,85,102 is 6120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 126,246,839

GCF of Fractions 126/72,246/85,839/102 is 1/6120

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

Greatest Common Factor of 126,246,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,246,839 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 126,246,839 . The biggest common factor number is the GCF number.
So the greatest common factor 126,246,839 is 1.

Lets's calculate LCM of 72,85,102

2 72, 85, 102
3 36, 85, 51
17 12, 85, 17
12, 5, 1

∴ So the LCM of the given numbers is 2 x 3 x 17 x 12 x 5 x 1 = 6120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6120

Therefore, the GCF of Fractions 126/72,246/85,839/102 is 1/6120

Least Common Multiple of 72,85,102 with GCF Formula

Least Common Multiple of 72,85,102 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 72,85,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,85,102) = 1

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

GCF(72,85,102) x common factors =1 x 102 = 102

LCM(72,85,102) = ( 72 × 85 × 102 ) / 102

LCM(72,85,102) = 624240 / 102

LCM(72,85,102) = 6120


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 126/72, 246/85, 839/102

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 126/72, 246/85, 839/102?

Answer: GCF of Numerators as per given numbers 126/72, 246/85, 839/102 is

GCF of Numerators i.e. for 126,246,839 is 1

LCM of denominators i.e. for 72,85,102 is 6120.

Thus, GCF of Fractions is 1/6120.Finally, GCF of Fractions for 126/72, 246/85, 839/102 is 1/6120.