Greatest Common Factor of 622/65, 654/80, 826/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 622/65, 654/80, 826/492

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 622/65,654/80,826/492

Given fractions are 622/65,654/80,826/492

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 622,654,826

Greatest Common Factor of Numerators i.e. GCF of 622,654,826 is 2 .

LCM of Denominators means LCM of 65,80,492 as per the given fractions.

LCM of 65,80,492 is 127920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 622,654,826

GCF of Fractions 622/65,654/80,826/492 is 2/127920

2 622, 654, 826
311, 327, 413

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

Greatest Common Factor of 622,654,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,654,826 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 622,654,826 . The biggest common factor number is the GCF number.
So the greatest common factor 622,654,826 is 2.

Lets's calculate LCM of 65,80,492

2 65, 80, 492
2 65, 40, 246
5 65, 20, 123
13, 4, 123

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 4 x 123 = 127920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/127920

Therefore, the GCF of Fractions 622/65,654/80,826/492 is 2/127920

Least Common Multiple of 65,80,492 with GCF Formula

Least Common Multiple of 65,80,492 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 65,80,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,80,492) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(65,80,492) x common factors =1 x 20 = 20

LCM(65,80,492) = ( 65 × 80 × 492 ) / 20

LCM(65,80,492) = 2558400 / 20

LCM(65,80,492) = 127920


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 622/65, 654/80, 826/492

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 622/65, 654/80, 826/492?

Answer: GCF of Numerators as per given numbers 622/65, 654/80, 826/492 is

GCF of Numerators i.e. for 622,654,826 is 2

LCM of denominators i.e. for 65,80,492 is 127920.

Thus, GCF of Fractions is 2/127920.Finally, GCF of Fractions for 622/65, 654/80, 826/492 is 2/127920.