Greatest Common Factor of 2472/417, 8402/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2472/417, 8402/789

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 2472/417,8402/789

Given fractions are 2472/417,8402/789

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 2472,8402

Greatest Common Factor of Numerators i.e. GCF of 2472,8402 is 2 .

LCM of Denominators means LCM of 417,789 as per the given fractions.

LCM of 417,789 is 109671 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2472,8402

GCF of Fractions 2472/417,8402/789 is 2/109671

2 2472, 8402
1236, 4201

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

Greatest Common Factor of 2472,8402 By Matching Biggest Common Factor Method

Greatest Common Factor of 2472,8402 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 8402

List of positive integer factors of 8402 that divides 8402 without a remainder.

1,2,4201,8402

Greatest Common Factor

We found the factors 2472,8402 . The biggest common factor number is the GCF number.
So the greatest common factor 2472,8402 is 2.

Lets's calculate LCM of 417,789

3 417, 789
139, 263

∴ So the LCM of the given numbers is 3 x 139 x 263 = 109671

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109671

Therefore, the GCF of Fractions 2472/417,8402/789 is 2/109671

Least Common Multiple of 417,789 with GCF Formula

Least Common Multiple of 417,789 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 417,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,789) = 3

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

GCF(417,789) x common factors =3 x 1 = 3

LCM(417,789) = ( 417 × 789 ) / 3

LCM(417,789) = 329013 / 3

LCM(417,789) = 109671


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 2472/417, 8402/789

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 2472/417, 8402/789?

Answer: GCF of Numerators as per given numbers 2472/417, 8402/789 is

GCF of Numerators i.e. for 2472,8402 is 2

LCM of denominators i.e. for 417,789 is 109671.

Thus, GCF of Fractions is 2/109671.Finally, GCF of Fractions for 2472/417, 8402/789 is 2/109671.