Greatest Common Factor of 648/415, 9744/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 648/415, 9744/115

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 648/415,9744/115

Given fractions are 648/415,9744/115

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 648,9744

Greatest Common Factor of Numerators i.e. GCF of 648,9744 is 24 .

LCM of Denominators means LCM of 415,115 as per the given fractions.

LCM of 415,115 is 9545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 648,9744

GCF of Fractions 648/415,9744/115 is 24/9545

2 648, 9744
2 324, 4872
2 162, 2436
3 81, 1218
27, 406

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 648,9744 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,9744 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 9744

List of positive integer factors of 9744 that divides 9744 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,29,42,48,56,58,84,87,112,116,168,174,203,232,336,348,406,464,609,696,812,1218,1392,1624,2436,3248,4872,9744

Greatest Common Factor

We found the factors 648,9744 . The biggest common factor number is the GCF number.
So the greatest common factor 648,9744 is 24.

Lets's calculate LCM of 415,115

5 415, 115
83, 23

∴ So the LCM of the given numbers is 5 x 83 x 23 = 9545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/9545

Therefore, the GCF of Fractions 648/415,9744/115 is 24/9545

Least Common Multiple of 415,115 with GCF Formula

Least Common Multiple of 415,115 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 415,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(415,115) = 5

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

GCF(415,115) x common factors =5 x 1 = 5

LCM(415,115) = ( 415 × 115 ) / 5

LCM(415,115) = 47725 / 5

LCM(415,115) = 9545


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 648/415, 9744/115

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 648/415, 9744/115?

Answer: GCF of Numerators as per given numbers 648/415, 9744/115 is

GCF of Numerators i.e. for 648,9744 is 24

LCM of denominators i.e. for 415,115 is 9545.

Thus, GCF of Fractions is 24/9545.Finally, GCF of Fractions for 648/415, 9744/115 is 24/9545.