Greatest Common Factor of 2256/390, 1496/8164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2256/390, 1496/8164

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 2256/390,1496/8164

Given fractions are 2256/390,1496/8164

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 2256,1496

Greatest Common Factor of Numerators i.e. GCF of 2256,1496 is 8 .

LCM of Denominators means LCM of 390,8164 as per the given fractions.

LCM of 390,8164 is 122460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2256,1496

GCF of Fractions 2256/390,1496/8164 is 8/122460

2 2256, 1496
2 1128, 748
2 564, 374
282, 187

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2256,1496 By Matching Biggest Common Factor Method

Greatest Common Factor of 2256,1496 By Matching Biggest Common Factor Method

Factors of 2256

List of positive integer factors of 2256 that divides 2256 without a remainder.

1,2,3,4,6,8,12,16,24,47,48,94,141,188,282,376,564,752,1128,2256

Factors of 1496

List of positive integer factors of 1496 that divides 1496 without a remainder.

1,2,4,8,11,17,22,34,44,68,88,136,187,374,748,1496

Greatest Common Factor

We found the factors 2256,1496 . The biggest common factor number is the GCF number.
So the greatest common factor 2256,1496 is 8.

Lets's calculate LCM of 390,8164

2 390, 8164
13 195, 4082
15, 314

∴ So the LCM of the given numbers is 2 x 13 x 15 x 314 = 122460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/122460

Therefore, the GCF of Fractions 2256/390,1496/8164 is 8/122460

Least Common Multiple of 390,8164 with GCF Formula

Least Common Multiple of 390,8164 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 390,8164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,8164) = 26

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

GCF(390,8164) x common factors =26 x 1 = 26

LCM(390,8164) = ( 390 × 8164 ) / 26

LCM(390,8164) = 3183960 / 26

LCM(390,8164) = 122460


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 2256/390, 1496/8164

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 2256/390, 1496/8164?

Answer: GCF of Numerators as per given numbers 2256/390, 1496/8164 is

GCF of Numerators i.e. for 2256,1496 is 8

LCM of denominators i.e. for 390,8164 is 122460.

Thus, GCF of Fractions is 8/122460.Finally, GCF of Fractions for 2256/390, 1496/8164 is 8/122460.