Greatest Common Factor of 38/627, 448/608, 188/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/627, 448/608, 188/937

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 38/627,448/608,188/937

Given fractions are 38/627,448/608,188/937

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 38,448,188

Greatest Common Factor of Numerators i.e. GCF of 38,448,188 is 2 .

LCM of Denominators means LCM of 627,608,937 as per the given fractions.

LCM of 627,608,937 is 18799968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,448,188

GCF of Fractions 38/627,448/608,188/937 is 2/18799968

2 38, 448, 188
19, 224, 94

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 38,448,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,448,188 By Matching Biggest Common Factor Method

Factors of 38

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

1,2,19,38

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 38,448,188 . The biggest common factor number is the GCF number.
So the greatest common factor 38,448,188 is 2.

Lets's calculate LCM of 627,608,937

19 627, 608, 937
33, 32, 937

∴ So the LCM of the given numbers is 19 x 33 x 32 x 937 = 18799968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18799968

Therefore, the GCF of Fractions 38/627,448/608,188/937 is 2/18799968

Least Common Multiple of 627,608,937 with GCF Formula

Least Common Multiple of 627,608,937 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 627,608,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,608,937) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(627,608,937) x common factors =1 x 19 = 19

LCM(627,608,937) = ( 627 × 608 × 937 ) / 19

LCM(627,608,937) = 357199392 / 19

LCM(627,608,937) = 18799968


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 38/627, 448/608, 188/937

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 38/627, 448/608, 188/937?

Answer: GCF of Numerators as per given numbers 38/627, 448/608, 188/937 is

GCF of Numerators i.e. for 38,448,188 is 2

LCM of denominators i.e. for 627,608,937 is 18799968.

Thus, GCF of Fractions is 2/18799968.Finally, GCF of Fractions for 38/627, 448/608, 188/937 is 2/18799968.