Greatest Common Factor of 238/57, 690/34, 363/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/57, 690/34, 363/988

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 238/57,690/34,363/988

Given fractions are 238/57,690/34,363/988

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 238,690,363

Greatest Common Factor of Numerators i.e. GCF of 238,690,363 is 1 .

LCM of Denominators means LCM of 57,34,988 as per the given fractions.

LCM of 57,34,988 is 50388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,690,363

GCF of Fractions 238/57,690/34,363/988 is 1/50388

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

Greatest Common Factor of 238,690,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,690,363 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 238,690,363 . The biggest common factor number is the GCF number.
So the greatest common factor 238,690,363 is 1.

Lets's calculate LCM of 57,34,988

2 57, 34, 988
19 57, 17, 494
3, 17, 26

∴ So the LCM of the given numbers is 2 x 19 x 3 x 17 x 26 = 50388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50388

Therefore, the GCF of Fractions 238/57,690/34,363/988 is 1/50388

Least Common Multiple of 57,34,988 with GCF Formula

Least Common Multiple of 57,34,988 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 57,34,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,34,988) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(57,34,988) x common factors =1 x 38 = 38

LCM(57,34,988) = ( 57 × 34 × 988 ) / 38

LCM(57,34,988) = 1914744 / 38

LCM(57,34,988) = 50388


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 238/57, 690/34, 363/988

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 238/57, 690/34, 363/988?

Answer: GCF of Numerators as per given numbers 238/57, 690/34, 363/988 is

GCF of Numerators i.e. for 238,690,363 is 1

LCM of denominators i.e. for 57,34,988 is 50388.

Thus, GCF of Fractions is 1/50388.Finally, GCF of Fractions for 238/57, 690/34, 363/988 is 1/50388.