Greatest Common Factor of 475/45, 6495/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/45, 6495/636

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 475/45,6495/636

Given fractions are 475/45,6495/636

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 475,6495

Greatest Common Factor of Numerators i.e. GCF of 475,6495 is 5 .

LCM of Denominators means LCM of 45,636 as per the given fractions.

LCM of 45,636 is 9540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,6495

GCF of Fractions 475/45,6495/636 is 5/9540

5 475, 6495
95, 1299

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

Greatest Common Factor of 475,6495 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,6495 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 6495

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

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

Greatest Common Factor

We found the factors 475,6495 . The biggest common factor number is the GCF number.
So the greatest common factor 475,6495 is 5.

Lets's calculate LCM of 45,636

3 45, 636
15, 212

∴ So the LCM of the given numbers is 3 x 15 x 212 = 9540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9540

Therefore, the GCF of Fractions 475/45,6495/636 is 5/9540

Least Common Multiple of 45,636 with GCF Formula

Least Common Multiple of 45,636 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 45,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,636) = 3

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

GCF(45,636) x common factors =3 x 1 = 3

LCM(45,636) = ( 45 × 636 ) / 3

LCM(45,636) = 28620 / 3

LCM(45,636) = 9540


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 475/45, 6495/636

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 475/45, 6495/636?

Answer: GCF of Numerators as per given numbers 475/45, 6495/636 is

GCF of Numerators i.e. for 475,6495 is 5

LCM of denominators i.e. for 45,636 is 9540.

Thus, GCF of Fractions is 5/9540.Finally, GCF of Fractions for 475/45, 6495/636 is 5/9540.