Greatest Common Factor of 388/31, 468/31, 375/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/31, 468/31, 375/668

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 388/31,468/31,375/668

Given fractions are 388/31,468/31,375/668

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 388,468,375

Greatest Common Factor of Numerators i.e. GCF of 388,468,375 is 1 .

LCM of Denominators means LCM of 31,31,668 as per the given fractions.

LCM of 31,31,668 is 20708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,468,375

GCF of Fractions 388/31,468/31,375/668 is 1/20708

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

Greatest Common Factor of 388,468,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,468,375 By Matching Biggest Common Factor Method

Factors of 388

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

1,2,4,97,194,388

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 388,468,375 . The biggest common factor number is the GCF number.
So the greatest common factor 388,468,375 is 1.

Lets's calculate LCM of 31,31,668

31 31, 31, 668
1, 1, 668

∴ So the LCM of the given numbers is 31 x 1 x 1 x 668 = 20708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20708

Therefore, the GCF of Fractions 388/31,468/31,375/668 is 1/20708

Least Common Multiple of 31,31,668 with GCF Formula

Least Common Multiple of 31,31,668 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 31,31,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,31,668) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(31,31,668) x common factors =1 x 31 = 31

LCM(31,31,668) = ( 31 × 31 × 668 ) / 31

LCM(31,31,668) = 641948 / 31

LCM(31,31,668) = 20708


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 388/31, 468/31, 375/668

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 388/31, 468/31, 375/668?

Answer: GCF of Numerators as per given numbers 388/31, 468/31, 375/668 is

GCF of Numerators i.e. for 388,468,375 is 1

LCM of denominators i.e. for 31,31,668 is 20708.

Thus, GCF of Fractions is 1/20708.Finally, GCF of Fractions for 388/31, 468/31, 375/668 is 1/20708.