Greatest Common Factor of 438/821, 156/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 438/821, 156/284

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 438/821,156/284

Given fractions are 438/821,156/284

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 438,156

Greatest Common Factor of Numerators i.e. GCF of 438,156 is 6 .

LCM of Denominators means LCM of 821,284 as per the given fractions.

LCM of 821,284 is 233164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 438,156

GCF of Fractions 438/821,156/284 is 6/233164

2 438, 156
3 219, 78
73, 26

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 438,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,156 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 438,156 . The biggest common factor number is the GCF number.
So the greatest common factor 438,156 is 6.

Lets's calculate LCM of 821,284

Given numbers has no common factors except 1. So, there LCM is their product i.e 233164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/233164

Therefore, the GCF of Fractions 438/821,156/284 is 6/233164

Least Common Multiple of 821,284 with GCF Formula

Least Common Multiple of 821,284 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 821,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,284) = 1

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

GCF(821,284) x common factors =1 x 1 = 1

LCM(821,284) = ( 821 × 284 ) / 1

LCM(821,284) = 233164 / 1

LCM(821,284) = 233164


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 438/821, 156/284

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 438/821, 156/284?

Answer: GCF of Numerators as per given numbers 438/821, 156/284 is

GCF of Numerators i.e. for 438,156 is 6

LCM of denominators i.e. for 821,284 is 233164.

Thus, GCF of Fractions is 6/233164.Finally, GCF of Fractions for 438/821, 156/284 is 6/233164.