Greatest Common Factor of 38/14, 741/82, 627/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/14, 741/82, 627/356

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 38/14,741/82,627/356

Given fractions are 38/14,741/82,627/356

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 38,741,627

Greatest Common Factor of Numerators i.e. GCF of 38,741,627 is 19 .

LCM of Denominators means LCM of 14,82,356 as per the given fractions.

LCM of 14,82,356 is 102172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,741,627

GCF of Fractions 38/14,741/82,627/356 is 19/102172

19 38, 741, 627
2, 39, 33

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 38,741,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,741,627 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 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 38,741,627 . The biggest common factor number is the GCF number.
So the greatest common factor 38,741,627 is 19.

Lets's calculate LCM of 14,82,356

2 14, 82, 356
7, 41, 178

∴ So the LCM of the given numbers is 2 x 7 x 41 x 178 = 102172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/102172

Therefore, the GCF of Fractions 38/14,741/82,627/356 is 19/102172

Least Common Multiple of 14,82,356 with GCF Formula

Least Common Multiple of 14,82,356 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 14,82,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,82,356) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(14,82,356) x common factors =2 x 2 = 4

LCM(14,82,356) = ( 14 × 82 × 356 ) / 4

LCM(14,82,356) = 408688 / 4

LCM(14,82,356) = 102172


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 38/14, 741/82, 627/356

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 38/14, 741/82, 627/356?

Answer: GCF of Numerators as per given numbers 38/14, 741/82, 627/356 is

GCF of Numerators i.e. for 38,741,627 is 19

LCM of denominators i.e. for 14,82,356 is 102172.

Thus, GCF of Fractions is 19/102172.Finally, GCF of Fractions for 38/14, 741/82, 627/356 is 19/102172.