Greatest Common Factor of 2472/174, 6429/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2472/174, 6429/423

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 2472/174,6429/423

Given fractions are 2472/174,6429/423

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 2472,6429

Greatest Common Factor of Numerators i.e. GCF of 2472,6429 is 3 .

LCM of Denominators means LCM of 174,423 as per the given fractions.

LCM of 174,423 is 24534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2472,6429

GCF of Fractions 2472/174,6429/423 is 3/24534

3 2472, 6429
824, 2143

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

Greatest Common Factor of 2472,6429 By Matching Biggest Common Factor Method

Greatest Common Factor of 2472,6429 By Matching Biggest Common Factor Method

Factors of 2472

List of positive integer factors of 2472 that divides 2472 without a remainder.

1,2,3,4,6,8,12,24,103,206,309,412,618,824,1236,2472

Factors of 6429

List of positive integer factors of 6429 that divides 6429 without a remainder.

1,3,2143,6429

Greatest Common Factor

We found the factors 2472,6429 . The biggest common factor number is the GCF number.
So the greatest common factor 2472,6429 is 3.

Lets's calculate LCM of 174,423

3 174, 423
58, 141

∴ So the LCM of the given numbers is 3 x 58 x 141 = 24534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24534

Therefore, the GCF of Fractions 2472/174,6429/423 is 3/24534

Least Common Multiple of 174,423 with GCF Formula

Least Common Multiple of 174,423 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 174,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,423) = 3

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

GCF(174,423) x common factors =3 x 1 = 3

LCM(174,423) = ( 174 × 423 ) / 3

LCM(174,423) = 73602 / 3

LCM(174,423) = 24534


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 2472/174, 6429/423

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 2472/174, 6429/423?

Answer: GCF of Numerators as per given numbers 2472/174, 6429/423 is

GCF of Numerators i.e. for 2472,6429 is 3

LCM of denominators i.e. for 174,423 is 24534.

Thus, GCF of Fractions is 3/24534.Finally, GCF of Fractions for 2472/174, 6429/423 is 3/24534.