Greatest Common Factor of 8475/384, 8501/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8475/384, 8501/252

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 8475/384,8501/252

Given fractions are 8475/384,8501/252

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 8475,8501

Greatest Common Factor of Numerators i.e. GCF of 8475,8501 is 1 .

LCM of Denominators means LCM of 384,252 as per the given fractions.

LCM of 384,252 is 8064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8475,8501

GCF of Fractions 8475/384,8501/252 is 1/8064

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

Greatest Common Factor of 8475,8501 By Matching Biggest Common Factor Method

Greatest Common Factor of 8475,8501 By Matching Biggest Common Factor Method

Factors of 8475

List of positive integer factors of 8475 that divides 8475 without a remainder.

1,3,5,15,25,75,113,339,565,1695,2825,8475

Factors of 8501

List of positive integer factors of 8501 that divides 8501 without a remainder.

1,8501

Greatest Common Factor

We found the factors 8475,8501 . The biggest common factor number is the GCF number.
So the greatest common factor 8475,8501 is 1.

Lets's calculate LCM of 384,252

2 384, 252
2 192, 126
3 96, 63
32, 21

∴ So the LCM of the given numbers is 2 x 2 x 3 x 32 x 21 = 8064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8064

Therefore, the GCF of Fractions 8475/384,8501/252 is 1/8064

Least Common Multiple of 384,252 with GCF Formula

Least Common Multiple of 384,252 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 384,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,252) = 12

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

GCF(384,252) x common factors =12 x 1 = 12

LCM(384,252) = ( 384 × 252 ) / 12

LCM(384,252) = 96768 / 12

LCM(384,252) = 8064


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 8475/384, 8501/252

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 8475/384, 8501/252?

Answer: GCF of Numerators as per given numbers 8475/384, 8501/252 is

GCF of Numerators i.e. for 8475,8501 is 1

LCM of denominators i.e. for 384,252 is 8064.

Thus, GCF of Fractions is 1/8064.Finally, GCF of Fractions for 8475/384, 8501/252 is 1/8064.