Greatest Common Factor of 5964/364, 8298/8384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5964/364, 8298/8384

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 5964/364,8298/8384

Given fractions are 5964/364,8298/8384

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 5964,8298

Greatest Common Factor of Numerators i.e. GCF of 5964,8298 is 6 .

LCM of Denominators means LCM of 364,8384 as per the given fractions.

LCM of 364,8384 is 762944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5964,8298

GCF of Fractions 5964/364,8298/8384 is 6/762944

2 5964, 8298
3 2982, 4149
994, 1383

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5964,8298 By Matching Biggest Common Factor Method

Greatest Common Factor of 5964,8298 By Matching Biggest Common Factor Method

Factors of 5964

List of positive integer factors of 5964 that divides 5964 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,71,84,142,213,284,426,497,852,994,1491,1988,2982,5964

Factors of 8298

List of positive integer factors of 8298 that divides 8298 without a remainder.

1,2,3,6,9,18,461,922,1383,2766,4149,8298

Greatest Common Factor

We found the factors 5964,8298 . The biggest common factor number is the GCF number.
So the greatest common factor 5964,8298 is 6.

Lets's calculate LCM of 364,8384

2 364, 8384
2 182, 4192
91, 2096

∴ So the LCM of the given numbers is 2 x 2 x 91 x 2096 = 762944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/762944

Therefore, the GCF of Fractions 5964/364,8298/8384 is 6/762944

Least Common Multiple of 364,8384 with GCF Formula

Least Common Multiple of 364,8384 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 364,8384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,8384) = 4

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

GCF(364,8384) x common factors =4 x 1 = 4

LCM(364,8384) = ( 364 × 8384 ) / 4

LCM(364,8384) = 3051776 / 4

LCM(364,8384) = 762944


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 5964/364, 8298/8384

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 5964/364, 8298/8384?

Answer: GCF of Numerators as per given numbers 5964/364, 8298/8384 is

GCF of Numerators i.e. for 5964,8298 is 6

LCM of denominators i.e. for 364,8384 is 762944.

Thus, GCF of Fractions is 6/762944.Finally, GCF of Fractions for 5964/364, 8298/8384 is 6/762944.