Greatest Common Factor of 5355/38, 6620/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5355/38, 6620/549

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 5355/38,6620/549

Given fractions are 5355/38,6620/549

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 5355,6620

Greatest Common Factor of Numerators i.e. GCF of 5355,6620 is 5 .

LCM of Denominators means LCM of 38,549 as per the given fractions.

LCM of 38,549 is 20862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5355,6620

GCF of Fractions 5355/38,6620/549 is 5/20862

5 5355, 6620
1071, 1324

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5355,6620 By Matching Biggest Common Factor Method

Greatest Common Factor of 5355,6620 By Matching Biggest Common Factor Method

Factors of 5355

List of positive integer factors of 5355 that divides 5355 without a remainder.

1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355

Factors of 6620

List of positive integer factors of 6620 that divides 6620 without a remainder.

1,2,4,5,10,20,331,662,1324,1655,3310,6620

Greatest Common Factor

We found the factors 5355,6620 . The biggest common factor number is the GCF number.
So the greatest common factor 5355,6620 is 5.

Lets's calculate LCM of 38,549

Given numbers has no common factors except 1. So, there LCM is their product i.e 20862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/20862

Therefore, the GCF of Fractions 5355/38,6620/549 is 5/20862

Least Common Multiple of 38,549 with GCF Formula

Least Common Multiple of 38,549 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 38,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,549) = 1

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

GCF(38,549) x common factors =1 x 1 = 1

LCM(38,549) = ( 38 × 549 ) / 1

LCM(38,549) = 20862 / 1

LCM(38,549) = 20862


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 5355/38, 6620/549

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 5355/38, 6620/549?

Answer: GCF of Numerators as per given numbers 5355/38, 6620/549 is

GCF of Numerators i.e. for 5355,6620 is 5

LCM of denominators i.e. for 38,549 is 20862.

Thus, GCF of Fractions is 5/20862.Finally, GCF of Fractions for 5355/38, 6620/549 is 5/20862.