Greatest Common Factor of 438/24, 1053/551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 438/24, 1053/551

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 438/24,1053/551

Given fractions are 438/24,1053/551

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 438,1053

Greatest Common Factor of Numerators i.e. GCF of 438,1053 is 3 .

LCM of Denominators means LCM of 24,551 as per the given fractions.

LCM of 24,551 is 13224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 438,1053

GCF of Fractions 438/24,1053/551 is 3/13224

3 438, 1053
146, 351

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 438,1053 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,1053 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 1053

List of positive integer factors of 1053 that divides 1053 without a remainder.

1,3,9,13,27,39,81,117,351,1053

Greatest Common Factor

We found the factors 438,1053 . The biggest common factor number is the GCF number.
So the greatest common factor 438,1053 is 3.

Lets's calculate LCM of 24,551

Given numbers has no common factors except 1. So, there LCM is their product i.e 13224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13224

Therefore, the GCF of Fractions 438/24,1053/551 is 3/13224

Least Common Multiple of 24,551 with GCF Formula

Least Common Multiple of 24,551 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 24,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,551) = 1

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

GCF(24,551) x common factors =1 x 1 = 1

LCM(24,551) = ( 24 × 551 ) / 1

LCM(24,551) = 13224 / 1

LCM(24,551) = 13224


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 438/24, 1053/551

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 438/24, 1053/551?

Answer: GCF of Numerators as per given numbers 438/24, 1053/551 is

GCF of Numerators i.e. for 438,1053 is 3

LCM of denominators i.e. for 24,551 is 13224.

Thus, GCF of Fractions is 3/13224.Finally, GCF of Fractions for 438/24, 1053/551 is 3/13224.