Greatest Common Factor of 6495/552, 3090/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6495/552, 3090/388

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 6495/552,3090/388

Given fractions are 6495/552,3090/388

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 6495,3090

Greatest Common Factor of Numerators i.e. GCF of 6495,3090 is 15 .

LCM of Denominators means LCM of 552,388 as per the given fractions.

LCM of 552,388 is 53544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6495,3090

GCF of Fractions 6495/552,3090/388 is 15/53544

3 6495, 3090
5 2165, 1030
433, 206

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 6495,3090 By Matching Biggest Common Factor Method

Greatest Common Factor of 6495,3090 By Matching Biggest Common Factor Method

Factors of 6495

List of positive integer factors of 6495 that divides 6495 without a remainder.

1,3,5,15,433,1299,2165,6495

Factors of 3090

List of positive integer factors of 3090 that divides 3090 without a remainder.

1,2,3,5,6,10,15,30,103,206,309,515,618,1030,1545,3090

Greatest Common Factor

We found the factors 6495,3090 . The biggest common factor number is the GCF number.
So the greatest common factor 6495,3090 is 15.

Lets's calculate LCM of 552,388

2 552, 388
2 276, 194
138, 97

∴ So the LCM of the given numbers is 2 x 2 x 138 x 97 = 53544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/53544

Therefore, the GCF of Fractions 6495/552,3090/388 is 15/53544

Least Common Multiple of 552,388 with GCF Formula

Least Common Multiple of 552,388 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 552,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,388) = 4

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

GCF(552,388) x common factors =4 x 1 = 4

LCM(552,388) = ( 552 × 388 ) / 4

LCM(552,388) = 214176 / 4

LCM(552,388) = 53544


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 6495/552, 3090/388

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 6495/552, 3090/388?

Answer: GCF of Numerators as per given numbers 6495/552, 3090/388 is

GCF of Numerators i.e. for 6495,3090 is 15

LCM of denominators i.e. for 552,388 is 53544.

Thus, GCF of Fractions is 15/53544.Finally, GCF of Fractions for 6495/552, 3090/388 is 15/53544.