Greatest Common Factor of 3/57, 38/25, 83/159, 235/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/57, 38/25, 83/159, 235/658

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 3/57,38/25,83/159,235/658

Given fractions are 3/57,38/25,83/159,235/658

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 3,38,83,235

Greatest Common Factor of Numerators i.e. GCF of 3,38,83,235 is 1 .

LCM of Denominators means LCM of 57,25,159,658 as per the given fractions.

LCM of 57,25,159,658 is 49695450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,38,83,235

GCF of Fractions 3/57,38/25,83/159,235/658 is 1/49695450

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

Greatest Common Factor of 3,38,83,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,38,83,235 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 3,38,83,235 . The biggest common factor number is the GCF number.
So the greatest common factor 3,38,83,235 is 1.

Lets's calculate LCM of 57,25,159,658

3 57, 25, 159, 658
19, 25, 53, 658

∴ So the LCM of the given numbers is 3 x 19 x 25 x 53 x 658 = 49695450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49695450

Therefore, the GCF of Fractions 3/57,38/25,83/159,235/658 is 1/49695450

Least Common Multiple of 57,25,159,658 with GCF Formula

Least Common Multiple of 57,25,159,658 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 57,25,159,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,25,159,658) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(57,25,159,658) x common factors =1 x 3 = 3

LCM(57,25,159,658) = ( 57 × 25 × 159 × 658 ) / 3

LCM(57,25,159,658) = 149086350 / 3

LCM(57,25,159,658) = 49695450


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 3/57, 38/25, 83/159, 235/658

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 3/57, 38/25, 83/159, 235/658?

Answer: GCF of Numerators as per given numbers 3/57, 38/25, 83/159, 235/658 is

GCF of Numerators i.e. for 3,38,83,235 is 1

LCM of denominators i.e. for 57,25,159,658 is 49695450.

Thus, GCF of Fractions is 1/49695450.Finally, GCF of Fractions for 3/57, 38/25, 83/159, 235/658 is 1/49695450.