Greatest Common Factor of 20/90, 766/46, 292/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/90, 766/46, 292/153

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 20/90,766/46,292/153

Given fractions are 20/90,766/46,292/153

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 20,766,292

Greatest Common Factor of Numerators i.e. GCF of 20,766,292 is 2 .

LCM of Denominators means LCM of 90,46,153 as per the given fractions.

LCM of 90,46,153 is 35190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,766,292

GCF of Fractions 20/90,766/46,292/153 is 2/35190

2 20, 766, 292
10, 383, 146

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

Greatest Common Factor of 20,766,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,766,292 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 20,766,292 . The biggest common factor number is the GCF number.
So the greatest common factor 20,766,292 is 2.

Lets's calculate LCM of 90,46,153

2 90, 46, 153
3 45, 23, 153
3 15, 23, 51
5, 23, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 23 x 17 = 35190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35190

Therefore, the GCF of Fractions 20/90,766/46,292/153 is 2/35190

Least Common Multiple of 90,46,153 with GCF Formula

Least Common Multiple of 90,46,153 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 90,46,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,46,153) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(90,46,153) x common factors =1 x 18 = 18

LCM(90,46,153) = ( 90 × 46 × 153 ) / 18

LCM(90,46,153) = 633420 / 18

LCM(90,46,153) = 35190


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 20/90, 766/46, 292/153

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 20/90, 766/46, 292/153?

Answer: GCF of Numerators as per given numbers 20/90, 766/46, 292/153 is

GCF of Numerators i.e. for 20,766,292 is 2

LCM of denominators i.e. for 90,46,153 is 35190.

Thus, GCF of Fractions is 2/35190.Finally, GCF of Fractions for 20/90, 766/46, 292/153 is 2/35190.