Greatest Common Factor of 428/131, 423/911, 960/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 428/131, 423/911, 960/590

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 428/131,423/911,960/590

Given fractions are 428/131,423/911,960/590

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 428,423,960

Greatest Common Factor of Numerators i.e. GCF of 428,423,960 is 1 .

LCM of Denominators means LCM of 131,911,590 as per the given fractions.

LCM of 131,911,590 is 70411190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 428,423,960

GCF of Fractions 428/131,423/911,960/590 is 1/70411190

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

Greatest Common Factor of 428,423,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,423,960 By Matching Biggest Common Factor Method

Factors of 428

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

1,2,4,107,214,428

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 428,423,960 . The biggest common factor number is the GCF number.
So the greatest common factor 428,423,960 is 1.

Lets's calculate LCM of 131,911,590

Given numbers has no common factors except 1. So, there LCM is their product i.e 70411190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70411190

Therefore, the GCF of Fractions 428/131,423/911,960/590 is 1/70411190

Least Common Multiple of 131,911,590 with GCF Formula

Least Common Multiple of 131,911,590 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 131,911,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,911,590) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(131,911,590) x common factors =1 x 1 = 1

LCM(131,911,590) = ( 131 × 911 × 590 ) / 1

LCM(131,911,590) = 70411190 / 1

LCM(131,911,590) = 70411190


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 428/131, 423/911, 960/590

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 428/131, 423/911, 960/590?

Answer: GCF of Numerators as per given numbers 428/131, 423/911, 960/590 is

GCF of Numerators i.e. for 428,423,960 is 1

LCM of denominators i.e. for 131,911,590 is 70411190.

Thus, GCF of Fractions is 1/70411190.Finally, GCF of Fractions for 428/131, 423/911, 960/590 is 1/70411190.