Greatest Common Factor of 2432/231, 1424/4234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2432/231, 1424/4234

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 2432/231,1424/4234

Given fractions are 2432/231,1424/4234

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 2432,1424

Greatest Common Factor of Numerators i.e. GCF of 2432,1424 is 16 .

LCM of Denominators means LCM of 231,4234 as per the given fractions.

LCM of 231,4234 is 978054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2432,1424

GCF of Fractions 2432/231,1424/4234 is 16/978054

2 2432, 1424
2 1216, 712
2 608, 356
2 304, 178
152, 89

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 2432,1424 By Matching Biggest Common Factor Method

Greatest Common Factor of 2432,1424 By Matching Biggest Common Factor Method

Factors of 2432

List of positive integer factors of 2432 that divides 2432 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432

Factors of 1424

List of positive integer factors of 1424 that divides 1424 without a remainder.

1,2,4,8,16,89,178,356,712,1424

Greatest Common Factor

We found the factors 2432,1424 . The biggest common factor number is the GCF number.
So the greatest common factor 2432,1424 is 16.

Lets's calculate LCM of 231,4234

Given numbers has no common factors except 1. So, there LCM is their product i.e 978054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/978054

Therefore, the GCF of Fractions 2432/231,1424/4234 is 16/978054

Least Common Multiple of 231,4234 with GCF Formula

Least Common Multiple of 231,4234 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 231,4234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,4234) = 1

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

GCF(231,4234) x common factors =1 x 1 = 1

LCM(231,4234) = ( 231 × 4234 ) / 1

LCM(231,4234) = 978054 / 1

LCM(231,4234) = 978054


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 2432/231, 1424/4234

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 2432/231, 1424/4234?

Answer: GCF of Numerators as per given numbers 2432/231, 1424/4234 is

GCF of Numerators i.e. for 2432,1424 is 16

LCM of denominators i.e. for 231,4234 is 978054.

Thus, GCF of Fractions is 16/978054.Finally, GCF of Fractions for 2432/231, 1424/4234 is 16/978054.