Greatest Common Factor of 5383/261, 6384/5086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5383/261, 6384/5086

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 5383/261,6384/5086

Given fractions are 5383/261,6384/5086

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 5383,6384

Greatest Common Factor of Numerators i.e. GCF of 5383,6384 is 7 .

LCM of Denominators means LCM of 261,5086 as per the given fractions.

LCM of 261,5086 is 1327446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5383,6384

GCF of Fractions 5383/261,6384/5086 is 7/1327446

7 5383, 6384
769, 912

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5383,6384 By Matching Biggest Common Factor Method

Greatest Common Factor of 5383,6384 By Matching Biggest Common Factor Method

Factors of 5383

List of positive integer factors of 5383 that divides 5383 without a remainder.

1,7,769,5383

Factors of 6384

List of positive integer factors of 6384 that divides 6384 without a remainder.

1,2,3,4,6,7,8,12,14,16,19,21,24,28,38,42,48,56,57,76,84,112,114,133,152,168,228,266,304,336,399,456,532,798,912,1064,1596,2128,3192,6384

Greatest Common Factor

We found the factors 5383,6384 . The biggest common factor number is the GCF number.
So the greatest common factor 5383,6384 is 7.

Lets's calculate LCM of 261,5086

Given numbers has no common factors except 1. So, there LCM is their product i.e 1327446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1327446

Therefore, the GCF of Fractions 5383/261,6384/5086 is 7/1327446

Least Common Multiple of 261,5086 with GCF Formula

Least Common Multiple of 261,5086 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 261,5086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,5086) = 1

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

GCF(261,5086) x common factors =1 x 1 = 1

LCM(261,5086) = ( 261 × 5086 ) / 1

LCM(261,5086) = 1327446 / 1

LCM(261,5086) = 1327446


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 5383/261, 6384/5086

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 5383/261, 6384/5086?

Answer: GCF of Numerators as per given numbers 5383/261, 6384/5086 is

GCF of Numerators i.e. for 5383,6384 is 7

LCM of denominators i.e. for 261,5086 is 1327446.

Thus, GCF of Fractions is 7/1327446.Finally, GCF of Fractions for 5383/261, 6384/5086 is 7/1327446.