Greatest Common Factor of 2398/393, 2232/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2398/393, 2232/402

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 2398/393,2232/402

Given fractions are 2398/393,2232/402

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 2398,2232

Greatest Common Factor of Numerators i.e. GCF of 2398,2232 is 2 .

LCM of Denominators means LCM of 393,402 as per the given fractions.

LCM of 393,402 is 52662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2398,2232

GCF of Fractions 2398/393,2232/402 is 2/52662

2 2398, 2232
1199, 1116

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

Greatest Common Factor of 2398,2232 By Matching Biggest Common Factor Method

Greatest Common Factor of 2398,2232 By Matching Biggest Common Factor Method

Factors of 2398

List of positive integer factors of 2398 that divides 2398 without a remainder.

1,2,11,22,109,218,1199,2398

Factors of 2232

List of positive integer factors of 2232 that divides 2232 without a remainder.

1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232

Greatest Common Factor

We found the factors 2398,2232 . The biggest common factor number is the GCF number.
So the greatest common factor 2398,2232 is 2.

Lets's calculate LCM of 393,402

3 393, 402
131, 134

∴ So the LCM of the given numbers is 3 x 131 x 134 = 52662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52662

Therefore, the GCF of Fractions 2398/393,2232/402 is 2/52662

Least Common Multiple of 393,402 with GCF Formula

Least Common Multiple of 393,402 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 393,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,402) = 3

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

GCF(393,402) x common factors =3 x 1 = 3

LCM(393,402) = ( 393 × 402 ) / 3

LCM(393,402) = 157986 / 3

LCM(393,402) = 52662


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 2398/393, 2232/402

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 2398/393, 2232/402?

Answer: GCF of Numerators as per given numbers 2398/393, 2232/402 is

GCF of Numerators i.e. for 2398,2232 is 2

LCM of denominators i.e. for 393,402 is 52662.

Thus, GCF of Fractions is 2/52662.Finally, GCF of Fractions for 2398/393, 2232/402 is 2/52662.