Greatest Common Factor of 238/567, 801/518, 388/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/567, 801/518, 388/875

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 238/567,801/518,388/875

Given fractions are 238/567,801/518,388/875

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 238,801,388

Greatest Common Factor of Numerators i.e. GCF of 238,801,388 is 1 .

LCM of Denominators means LCM of 567,518,875 as per the given fractions.

LCM of 567,518,875 is 5244750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,801,388

GCF of Fractions 238/567,801/518,388/875 is 1/5244750

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

Greatest Common Factor of 238,801,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,801,388 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 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 238,801,388 . The biggest common factor number is the GCF number.
So the greatest common factor 238,801,388 is 1.

Lets's calculate LCM of 567,518,875

7 567, 518, 875
81, 74, 125

∴ So the LCM of the given numbers is 7 x 81 x 74 x 125 = 5244750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5244750

Therefore, the GCF of Fractions 238/567,801/518,388/875 is 1/5244750

Least Common Multiple of 567,518,875 with GCF Formula

Least Common Multiple of 567,518,875 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 567,518,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,518,875) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(567,518,875) x common factors =7 x 7 = 49

LCM(567,518,875) = ( 567 × 518 × 875 ) / 49

LCM(567,518,875) = 256992750 / 49

LCM(567,518,875) = 5244750


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 238/567, 801/518, 388/875

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 238/567, 801/518, 388/875?

Answer: GCF of Numerators as per given numbers 238/567, 801/518, 388/875 is

GCF of Numerators i.e. for 238,801,388 is 1

LCM of denominators i.e. for 567,518,875 is 5244750.

Thus, GCF of Fractions is 1/5244750.Finally, GCF of Fractions for 238/567, 801/518, 388/875 is 1/5244750.