Greatest Common Factor of 90/58, 170/59, 237/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/58, 170/59, 237/142

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 90/58,170/59,237/142

Given fractions are 90/58,170/59,237/142

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 90,170,237

Greatest Common Factor of Numerators i.e. GCF of 90,170,237 is 1 .

LCM of Denominators means LCM of 58,59,142 as per the given fractions.

LCM of 58,59,142 is 242962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,170,237

GCF of Fractions 90/58,170/59,237/142 is 1/242962

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

Greatest Common Factor of 90,170,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,170,237 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 90,170,237 . The biggest common factor number is the GCF number.
So the greatest common factor 90,170,237 is 1.

Lets's calculate LCM of 58,59,142

2 58, 59, 142
29, 59, 71

∴ So the LCM of the given numbers is 2 x 29 x 59 x 71 = 242962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242962

Therefore, the GCF of Fractions 90/58,170/59,237/142 is 1/242962

Least Common Multiple of 58,59,142 with GCF Formula

Least Common Multiple of 58,59,142 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 58,59,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,59,142) = 1

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

GCF(58,59,142) x common factors =1 x 2 = 2

LCM(58,59,142) = ( 58 × 59 × 142 ) / 2

LCM(58,59,142) = 485924 / 2

LCM(58,59,142) = 242962


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 90/58, 170/59, 237/142

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 90/58, 170/59, 237/142?

Answer: GCF of Numerators as per given numbers 90/58, 170/59, 237/142 is

GCF of Numerators i.e. for 90,170,237 is 1

LCM of denominators i.e. for 58,59,142 is 242962.

Thus, GCF of Fractions is 1/242962.Finally, GCF of Fractions for 90/58, 170/59, 237/142 is 1/242962.