Greatest Common Factor of 8505/24, 7715/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8505/24, 7715/326

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 8505/24,7715/326

Given fractions are 8505/24,7715/326

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 8505,7715

Greatest Common Factor of Numerators i.e. GCF of 8505,7715 is 5 .

LCM of Denominators means LCM of 24,326 as per the given fractions.

LCM of 24,326 is 3912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8505,7715

GCF of Fractions 8505/24,7715/326 is 5/3912

5 8505, 7715
1701, 1543

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

Greatest Common Factor of 8505,7715 By Matching Biggest Common Factor Method

Greatest Common Factor of 8505,7715 By Matching Biggest Common Factor Method

Factors of 8505

List of positive integer factors of 8505 that divides 8505 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505

Factors of 7715

List of positive integer factors of 7715 that divides 7715 without a remainder.

1,5,1543,7715

Greatest Common Factor

We found the factors 8505,7715 . The biggest common factor number is the GCF number.
So the greatest common factor 8505,7715 is 5.

Lets's calculate LCM of 24,326

2 24, 326
12, 163

∴ So the LCM of the given numbers is 2 x 12 x 163 = 3912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3912

Therefore, the GCF of Fractions 8505/24,7715/326 is 5/3912

Least Common Multiple of 24,326 with GCF Formula

Least Common Multiple of 24,326 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 24,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,326) = 2

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

GCF(24,326) x common factors =2 x 1 = 2

LCM(24,326) = ( 24 × 326 ) / 2

LCM(24,326) = 7824 / 2

LCM(24,326) = 3912


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 8505/24, 7715/326

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 8505/24, 7715/326?

Answer: GCF of Numerators as per given numbers 8505/24, 7715/326 is

GCF of Numerators i.e. for 8505,7715 is 5

LCM of denominators i.e. for 24,326 is 3912.

Thus, GCF of Fractions is 5/3912.Finally, GCF of Fractions for 8505/24, 7715/326 is 5/3912.