Greatest Common Factor of 705/144, 5800/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 705/144, 5800/324

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 705/144,5800/324

Given fractions are 705/144,5800/324

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 705,5800

Greatest Common Factor of Numerators i.e. GCF of 705,5800 is 5 .

LCM of Denominators means LCM of 144,324 as per the given fractions.

LCM of 144,324 is 1296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 705,5800

GCF of Fractions 705/144,5800/324 is 5/1296

5 705, 5800
141, 1160

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

Greatest Common Factor of 705,5800 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,5800 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 5800

List of positive integer factors of 5800 that divides 5800 without a remainder.

1,2,4,5,8,10,20,25,29,40,50,58,100,116,145,200,232,290,580,725,1160,1450,2900,5800

Greatest Common Factor

We found the factors 705,5800 . The biggest common factor number is the GCF number.
So the greatest common factor 705,5800 is 5.

Lets's calculate LCM of 144,324

2 144, 324
2 72, 162
3 36, 81
3 12, 27
4, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 4 x 9 = 1296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1296

Therefore, the GCF of Fractions 705/144,5800/324 is 5/1296

Least Common Multiple of 144,324 with GCF Formula

Least Common Multiple of 144,324 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 144,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,324) = 36

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

GCF(144,324) x common factors =36 x 1 = 36

LCM(144,324) = ( 144 × 324 ) / 36

LCM(144,324) = 46656 / 36

LCM(144,324) = 1296


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 705/144, 5800/324

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 705/144, 5800/324?

Answer: GCF of Numerators as per given numbers 705/144, 5800/324 is

GCF of Numerators i.e. for 705,5800 is 5

LCM of denominators i.e. for 144,324 is 1296.

Thus, GCF of Fractions is 5/1296.Finally, GCF of Fractions for 705/144, 5800/324 is 5/1296.