Greatest Common Factor of 20/727, 26/970, 762/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/727, 26/970, 762/458

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 20/727,26/970,762/458

Given fractions are 20/727,26/970,762/458

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 20,26,762

Greatest Common Factor of Numerators i.e. GCF of 20,26,762 is 2 .

LCM of Denominators means LCM of 727,970,458 as per the given fractions.

LCM of 727,970,458 is 161488510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,26,762

GCF of Fractions 20/727,26/970,762/458 is 2/161488510

2 20, 26, 762
10, 13, 381

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

Greatest Common Factor of 20,26,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,26,762 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 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 20,26,762 . The biggest common factor number is the GCF number.
So the greatest common factor 20,26,762 is 2.

Lets's calculate LCM of 727,970,458

2 727, 970, 458
727, 485, 229

∴ So the LCM of the given numbers is 2 x 727 x 485 x 229 = 161488510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/161488510

Therefore, the GCF of Fractions 20/727,26/970,762/458 is 2/161488510

Least Common Multiple of 727,970,458 with GCF Formula

Least Common Multiple of 727,970,458 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 727,970,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,970,458) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(727,970,458) x common factors =1 x 2 = 2

LCM(727,970,458) = ( 727 × 970 × 458 ) / 2

LCM(727,970,458) = 322977020 / 2

LCM(727,970,458) = 161488510


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 20/727, 26/970, 762/458

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 20/727, 26/970, 762/458?

Answer: GCF of Numerators as per given numbers 20/727, 26/970, 762/458 is

GCF of Numerators i.e. for 20,26,762 is 2

LCM of denominators i.e. for 727,970,458 is 161488510.

Thus, GCF of Fractions is 2/161488510.Finally, GCF of Fractions for 20/727, 26/970, 762/458 is 2/161488510.