Greatest Common Factor of 740/522, 8160/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 740/522, 8160/329

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 740/522,8160/329

Given fractions are 740/522,8160/329

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 740,8160

Greatest Common Factor of Numerators i.e. GCF of 740,8160 is 20 .

LCM of Denominators means LCM of 522,329 as per the given fractions.

LCM of 522,329 is 171738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 740,8160

GCF of Fractions 740/522,8160/329 is 20/171738

2 740, 8160
2 370, 4080
5 185, 2040
37, 408

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 740,8160 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,8160 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 8160

List of positive integer factors of 8160 that divides 8160 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160

Greatest Common Factor

We found the factors 740,8160 . The biggest common factor number is the GCF number.
So the greatest common factor 740,8160 is 20.

Lets's calculate LCM of 522,329

Given numbers has no common factors except 1. So, there LCM is their product i.e 171738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/171738

Therefore, the GCF of Fractions 740/522,8160/329 is 20/171738

Least Common Multiple of 522,329 with GCF Formula

Least Common Multiple of 522,329 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 522,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,329) = 1

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

GCF(522,329) x common factors =1 x 1 = 1

LCM(522,329) = ( 522 × 329 ) / 1

LCM(522,329) = 171738 / 1

LCM(522,329) = 171738


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 740/522, 8160/329

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 740/522, 8160/329?

Answer: GCF of Numerators as per given numbers 740/522, 8160/329 is

GCF of Numerators i.e. for 740,8160 is 20

LCM of denominators i.e. for 522,329 is 171738.

Thus, GCF of Fractions is 20/171738.Finally, GCF of Fractions for 740/522, 8160/329 is 20/171738.