Greatest Common Factor of 38/24, 314/32, 168/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/24, 314/32, 168/645

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 38/24,314/32,168/645

Given fractions are 38/24,314/32,168/645

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 38,314,168

Greatest Common Factor of Numerators i.e. GCF of 38,314,168 is 2 .

LCM of Denominators means LCM of 24,32,645 as per the given fractions.

LCM of 24,32,645 is 20640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,314,168

GCF of Fractions 38/24,314/32,168/645 is 2/20640

2 38, 314, 168
19, 157, 84

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

Greatest Common Factor of 38,314,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,314,168 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 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 38,314,168 . The biggest common factor number is the GCF number.
So the greatest common factor 38,314,168 is 2.

Lets's calculate LCM of 24,32,645

2 24, 32, 645
2 12, 16, 645
2 6, 8, 645
3 3, 4, 645
1, 4, 215

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 4 x 215 = 20640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20640

Therefore, the GCF of Fractions 38/24,314/32,168/645 is 2/20640

Least Common Multiple of 24,32,645 with GCF Formula

Least Common Multiple of 24,32,645 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 24,32,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,32,645) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(24,32,645) x common factors =1 x 24 = 24

LCM(24,32,645) = ( 24 × 32 × 645 ) / 24

LCM(24,32,645) = 495360 / 24

LCM(24,32,645) = 20640


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 38/24, 314/32, 168/645

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 38/24, 314/32, 168/645?

Answer: GCF of Numerators as per given numbers 38/24, 314/32, 168/645 is

GCF of Numerators i.e. for 38,314,168 is 2

LCM of denominators i.e. for 24,32,645 is 20640.

Thus, GCF of Fractions is 2/20640.Finally, GCF of Fractions for 38/24, 314/32, 168/645 is 2/20640.