Greatest Common Factor of 126/61, 492/20, 415/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 126/61, 492/20, 415/356

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 126/61,492/20,415/356

Given fractions are 126/61,492/20,415/356

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 126,492,415

Greatest Common Factor of Numerators i.e. GCF of 126,492,415 is 1 .

LCM of Denominators means LCM of 61,20,356 as per the given fractions.

LCM of 61,20,356 is 108580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 126,492,415

GCF of Fractions 126/61,492/20,415/356 is 1/108580

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

Greatest Common Factor of 126,492,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,492,415 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 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 126,492,415 . The biggest common factor number is the GCF number.
So the greatest common factor 126,492,415 is 1.

Lets's calculate LCM of 61,20,356

2 61, 20, 356
2 61, 10, 178
61, 5, 89

∴ So the LCM of the given numbers is 2 x 2 x 61 x 5 x 89 = 108580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108580

Therefore, the GCF of Fractions 126/61,492/20,415/356 is 1/108580

Least Common Multiple of 61,20,356 with GCF Formula

Least Common Multiple of 61,20,356 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 61,20,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,20,356) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(61,20,356) x common factors =1 x 4 = 4

LCM(61,20,356) = ( 61 × 20 × 356 ) / 4

LCM(61,20,356) = 434320 / 4

LCM(61,20,356) = 108580


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 126/61, 492/20, 415/356

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 126/61, 492/20, 415/356?

Answer: GCF of Numerators as per given numbers 126/61, 492/20, 415/356 is

GCF of Numerators i.e. for 126,492,415 is 1

LCM of denominators i.e. for 61,20,356 is 108580.

Thus, GCF of Fractions is 1/108580.Finally, GCF of Fractions for 126/61, 492/20, 415/356 is 1/108580.