Greatest Common Factor of 959/60, 160/20, 428/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 959/60, 160/20, 428/993

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 959/60,160/20,428/993

Given fractions are 959/60,160/20,428/993

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 959,160,428

Greatest Common Factor of Numerators i.e. GCF of 959,160,428 is 1 .

LCM of Denominators means LCM of 60,20,993 as per the given fractions.

LCM of 60,20,993 is 19860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 959,160,428

GCF of Fractions 959/60,160/20,428/993 is 1/19860

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

Greatest Common Factor of 959,160,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,160,428 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

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 959,160,428 . The biggest common factor number is the GCF number.
So the greatest common factor 959,160,428 is 1.

Lets's calculate LCM of 60,20,993

2 60, 20, 993
2 30, 10, 993
3 15, 5, 993
5 5, 5, 331
1, 1, 331

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 331 = 19860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19860

Therefore, the GCF of Fractions 959/60,160/20,428/993 is 1/19860

Least Common Multiple of 60,20,993 with GCF Formula

Least Common Multiple of 60,20,993 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 60,20,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,20,993) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(60,20,993) x common factors =1 x 60 = 60

LCM(60,20,993) = ( 60 × 20 × 993 ) / 60

LCM(60,20,993) = 1191600 / 60

LCM(60,20,993) = 19860


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 959/60, 160/20, 428/993

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 959/60, 160/20, 428/993?

Answer: GCF of Numerators as per given numbers 959/60, 160/20, 428/993 is

GCF of Numerators i.e. for 959,160,428 is 1

LCM of denominators i.e. for 60,20,993 is 19860.

Thus, GCF of Fractions is 1/19860.Finally, GCF of Fractions for 959/60, 160/20, 428/993 is 1/19860.