Greatest Common Factor of 745/624, 821/144, 159/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 745/624, 821/144, 159/720

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 745/624,821/144,159/720

Given fractions are 745/624,821/144,159/720

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 745,821,159

Greatest Common Factor of Numerators i.e. GCF of 745,821,159 is 1 .

LCM of Denominators means LCM of 624,144,720 as per the given fractions.

LCM of 624,144,720 is 9360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 745,821,159

GCF of Fractions 745/624,821/144,159/720 is 1/9360

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 745,821,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,821,159 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 745,821,159 . The biggest common factor number is the GCF number.
So the greatest common factor 745,821,159 is 1.

Lets's calculate LCM of 624,144,720

2 624, 144, 720
2 312, 72, 360
2 156, 36, 180
2 78, 18, 90
3 39, 9, 45
3 13, 3, 15
13, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 13 x 1 x 5 = 9360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9360

Therefore, the GCF of Fractions 745/624,821/144,159/720 is 1/9360

Least Common Multiple of 624,144,720 with GCF Formula

Least Common Multiple of 624,144,720 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 624,144,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,144,720) = 48

common factors(in case of two or more numbers have common factors) = 144

GCF(624,144,720) x common factors =48 x 144 = 6912

LCM(624,144,720) = ( 624 × 144 × 720 ) / 6912

LCM(624,144,720) = 64696320 / 6912

LCM(624,144,720) = 9360


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 745/624, 821/144, 159/720

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 745/624, 821/144, 159/720?

Answer: GCF of Numerators as per given numbers 745/624, 821/144, 159/720 is

GCF of Numerators i.e. for 745,821,159 is 1

LCM of denominators i.e. for 624,144,720 is 9360.

Thus, GCF of Fractions is 1/9360.Finally, GCF of Fractions for 745/624, 821/144, 159/720 is 1/9360.