Greatest Common Factor of 5316/384, 1008/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5316/384, 1008/403

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 5316/384,1008/403

Given fractions are 5316/384,1008/403

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 5316,1008

Greatest Common Factor of Numerators i.e. GCF of 5316,1008 is 12 .

LCM of Denominators means LCM of 384,403 as per the given fractions.

LCM of 384,403 is 154752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5316,1008

GCF of Fractions 5316/384,1008/403 is 12/154752

2 5316, 1008
2 2658, 504
3 1329, 252
443, 84

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 5316,1008 By Matching Biggest Common Factor Method

Greatest Common Factor of 5316,1008 By Matching Biggest Common Factor Method

Factors of 5316

List of positive integer factors of 5316 that divides 5316 without a remainder.

1,2,3,4,6,12,443,886,1329,1772,2658,5316

Factors of 1008

List of positive integer factors of 1008 that divides 1008 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008

Greatest Common Factor

We found the factors 5316,1008 . The biggest common factor number is the GCF number.
So the greatest common factor 5316,1008 is 12.

Lets's calculate LCM of 384,403

Given numbers has no common factors except 1. So, there LCM is their product i.e 154752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/154752

Therefore, the GCF of Fractions 5316/384,1008/403 is 12/154752

Least Common Multiple of 384,403 with GCF Formula

Least Common Multiple of 384,403 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 384,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,403) = 1

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

GCF(384,403) x common factors =1 x 1 = 1

LCM(384,403) = ( 384 × 403 ) / 1

LCM(384,403) = 154752 / 1

LCM(384,403) = 154752


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 5316/384, 1008/403

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 5316/384, 1008/403?

Answer: GCF of Numerators as per given numbers 5316/384, 1008/403 is

GCF of Numerators i.e. for 5316,1008 is 12

LCM of denominators i.e. for 384,403 is 154752.

Thus, GCF of Fractions is 12/154752.Finally, GCF of Fractions for 5316/384, 1008/403 is 12/154752.