Greatest Common Factor of 426/20, 342/80, 428/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 426/20, 342/80, 428/761

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 426/20,342/80,428/761

Given fractions are 426/20,342/80,428/761

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 426,342,428

Greatest Common Factor of Numerators i.e. GCF of 426,342,428 is 2 .

LCM of Denominators means LCM of 20,80,761 as per the given fractions.

LCM of 20,80,761 is 60880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 426,342,428

GCF of Fractions 426/20,342/80,428/761 is 2/60880

2 426, 342, 428
213, 171, 214

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

Greatest Common Factor of 426,342,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,342,428 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 426,342,428 . The biggest common factor number is the GCF number.
So the greatest common factor 426,342,428 is 2.

Lets's calculate LCM of 20,80,761

2 20, 80, 761
2 10, 40, 761
5 5, 20, 761
1, 4, 761

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 4 x 761 = 60880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60880

Therefore, the GCF of Fractions 426/20,342/80,428/761 is 2/60880

Least Common Multiple of 20,80,761 with GCF Formula

Least Common Multiple of 20,80,761 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 20,80,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,80,761) = 1

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

GCF(20,80,761) x common factors =1 x 20 = 20

LCM(20,80,761) = ( 20 × 80 × 761 ) / 20

LCM(20,80,761) = 1217600 / 20

LCM(20,80,761) = 60880


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 426/20, 342/80, 428/761

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 426/20, 342/80, 428/761?

Answer: GCF of Numerators as per given numbers 426/20, 342/80, 428/761 is

GCF of Numerators i.e. for 426,342,428 is 2

LCM of denominators i.e. for 20,80,761 is 60880.

Thus, GCF of Fractions is 2/60880.Finally, GCF of Fractions for 426/20, 342/80, 428/761 is 2/60880.