Greatest Common Factor of 5499/921, 3638/5713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5499/921, 3638/5713

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 5499/921,3638/5713

Given fractions are 5499/921,3638/5713

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 5499,3638

Greatest Common Factor of Numerators i.e. GCF of 5499,3638 is 1 .

LCM of Denominators means LCM of 921,5713 as per the given fractions.

LCM of 921,5713 is 5261673 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5499,3638

GCF of Fractions 5499/921,3638/5713 is 1/5261673

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5499,3638 By Matching Biggest Common Factor Method

Greatest Common Factor of 5499,3638 By Matching Biggest Common Factor Method

Factors of 5499

List of positive integer factors of 5499 that divides 5499 without a remainder.

1,3,9,13,39,47,117,141,423,611,1833,5499

Factors of 3638

List of positive integer factors of 3638 that divides 3638 without a remainder.

1,2,17,34,107,214,1819,3638

Greatest Common Factor

We found the factors 5499,3638 . The biggest common factor number is the GCF number.
So the greatest common factor 5499,3638 is 1.

Lets's calculate LCM of 921,5713

Given numbers has no common factors except 1. So, there LCM is their product i.e 5261673

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5261673

Therefore, the GCF of Fractions 5499/921,3638/5713 is 1/5261673

Least Common Multiple of 921,5713 with GCF Formula

Least Common Multiple of 921,5713 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 921,5713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,5713) = 1

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

GCF(921,5713) x common factors =1 x 1 = 1

LCM(921,5713) = ( 921 × 5713 ) / 1

LCM(921,5713) = 5261673 / 1

LCM(921,5713) = 5261673


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 5499/921, 3638/5713

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 5499/921, 3638/5713?

Answer: GCF of Numerators as per given numbers 5499/921, 3638/5713 is

GCF of Numerators i.e. for 5499,3638 is 1

LCM of denominators i.e. for 921,5713 is 5261673.

Thus, GCF of Fractions is 1/5261673.Finally, GCF of Fractions for 5499/921, 3638/5713 is 1/5261673.