Greatest Common Factor of 8544/817, 7515/9954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8544/817, 7515/9954

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 8544/817,7515/9954

Given fractions are 8544/817,7515/9954

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 8544,7515

Greatest Common Factor of Numerators i.e. GCF of 8544,7515 is 3 .

LCM of Denominators means LCM of 817,9954 as per the given fractions.

LCM of 817,9954 is 8132418 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8544,7515

GCF of Fractions 8544/817,7515/9954 is 3/8132418

3 8544, 7515
2848, 2505

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8544,7515 By Matching Biggest Common Factor Method

Greatest Common Factor of 8544,7515 By Matching Biggest Common Factor Method

Factors of 8544

List of positive integer factors of 8544 that divides 8544 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544

Factors of 7515

List of positive integer factors of 7515 that divides 7515 without a remainder.

1,3,5,9,15,45,167,501,835,1503,2505,7515

Greatest Common Factor

We found the factors 8544,7515 . The biggest common factor number is the GCF number.
So the greatest common factor 8544,7515 is 3.

Lets's calculate LCM of 817,9954

Given numbers has no common factors except 1. So, there LCM is their product i.e 8132418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8132418

Therefore, the GCF of Fractions 8544/817,7515/9954 is 3/8132418

Least Common Multiple of 817,9954 with GCF Formula

Least Common Multiple of 817,9954 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 817,9954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,9954) = 1

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

GCF(817,9954) x common factors =1 x 1 = 1

LCM(817,9954) = ( 817 × 9954 ) / 1

LCM(817,9954) = 8132418 / 1

LCM(817,9954) = 8132418


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 8544/817, 7515/9954

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 8544/817, 7515/9954?

Answer: GCF of Numerators as per given numbers 8544/817, 7515/9954 is

GCF of Numerators i.e. for 8544,7515 is 3

LCM of denominators i.e. for 817,9954 is 8132418.

Thus, GCF of Fractions is 3/8132418.Finally, GCF of Fractions for 8544/817, 7515/9954 is 3/8132418.