Greatest Common Factor of 8715/408, 8445/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8715/408, 8445/144

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 8715/408,8445/144

Given fractions are 8715/408,8445/144

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 8715,8445

Greatest Common Factor of Numerators i.e. GCF of 8715,8445 is 15 .

LCM of Denominators means LCM of 408,144 as per the given fractions.

LCM of 408,144 is 2448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8715,8445

GCF of Fractions 8715/408,8445/144 is 15/2448

3 8715, 8445
5 2905, 2815
581, 563

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

Greatest Common Factor of 8715,8445 By Matching Biggest Common Factor Method

Greatest Common Factor of 8715,8445 By Matching Biggest Common Factor Method

Factors of 8715

List of positive integer factors of 8715 that divides 8715 without a remainder.

1,3,5,7,15,21,35,83,105,249,415,581,1245,1743,2905,8715

Factors of 8445

List of positive integer factors of 8445 that divides 8445 without a remainder.

1,3,5,15,563,1689,2815,8445

Greatest Common Factor

We found the factors 8715,8445 . The biggest common factor number is the GCF number.
So the greatest common factor 8715,8445 is 15.

Lets's calculate LCM of 408,144

2 408, 144
2 204, 72
2 102, 36
3 51, 18
17, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 6 = 2448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2448

Therefore, the GCF of Fractions 8715/408,8445/144 is 15/2448

Least Common Multiple of 408,144 with GCF Formula

Least Common Multiple of 408,144 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 408,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,144) = 24

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

GCF(408,144) x common factors =24 x 1 = 24

LCM(408,144) = ( 408 × 144 ) / 24

LCM(408,144) = 58752 / 24

LCM(408,144) = 2448


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8715/408, 8445/144

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 8715/408, 8445/144?

Answer: GCF of Numerators as per given numbers 8715/408, 8445/144 is

GCF of Numerators i.e. for 8715,8445 is 15

LCM of denominators i.e. for 408,144 is 2448.

Thus, GCF of Fractions is 15/2448.Finally, GCF of Fractions for 8715/408, 8445/144 is 15/2448.