Greatest Common Factor of 38/57, 12/823, 984/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/57, 12/823, 984/149

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 38/57,12/823,984/149

Given fractions are 38/57,12/823,984/149

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 38,12,984

Greatest Common Factor of Numerators i.e. GCF of 38,12,984 is 2 .

LCM of Denominators means LCM of 57,823,149 as per the given fractions.

LCM of 57,823,149 is 6989739 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,12,984

GCF of Fractions 38/57,12/823,984/149 is 2/6989739

2 38, 12, 984
19, 6, 492

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

Greatest Common Factor of 38,12,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,12,984 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 38,12,984 . The biggest common factor number is the GCF number.
So the greatest common factor 38,12,984 is 2.

Lets's calculate LCM of 57,823,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 6989739

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6989739

Therefore, the GCF of Fractions 38/57,12/823,984/149 is 2/6989739

Least Common Multiple of 57,823,149 with GCF Formula

Least Common Multiple of 57,823,149 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 57,823,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,823,149) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(57,823,149) x common factors =1 x 1 = 1

LCM(57,823,149) = ( 57 × 823 × 149 ) / 1

LCM(57,823,149) = 6989739 / 1

LCM(57,823,149) = 6989739


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 38/57, 12/823, 984/149

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 38/57, 12/823, 984/149?

Answer: GCF of Numerators as per given numbers 38/57, 12/823, 984/149 is

GCF of Numerators i.e. for 38,12,984 is 2

LCM of denominators i.e. for 57,823,149 is 6989739.

Thus, GCF of Fractions is 2/6989739.Finally, GCF of Fractions for 38/57, 12/823, 984/149 is 2/6989739.