Greatest Common Factor of 722/43, 8282/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 722/43, 8282/180

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 722/43,8282/180

Given fractions are 722/43,8282/180

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 722,8282

Greatest Common Factor of Numerators i.e. GCF of 722,8282 is 2 .

LCM of Denominators means LCM of 43,180 as per the given fractions.

LCM of 43,180 is 7740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 722,8282

GCF of Fractions 722/43,8282/180 is 2/7740

2 722, 8282
361, 4141

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 722,8282 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,8282 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 8282

List of positive integer factors of 8282 that divides 8282 without a remainder.

1,2,41,82,101,202,4141,8282

Greatest Common Factor

We found the factors 722,8282 . The biggest common factor number is the GCF number.
So the greatest common factor 722,8282 is 2.

Lets's calculate LCM of 43,180

Given numbers has no common factors except 1. So, there LCM is their product i.e 7740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7740

Therefore, the GCF of Fractions 722/43,8282/180 is 2/7740

Least Common Multiple of 43,180 with GCF Formula

Least Common Multiple of 43,180 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 43,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,180) = 1

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

GCF(43,180) x common factors =1 x 1 = 1

LCM(43,180) = ( 43 × 180 ) / 1

LCM(43,180) = 7740 / 1

LCM(43,180) = 7740


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 722/43, 8282/180

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 722/43, 8282/180?

Answer: GCF of Numerators as per given numbers 722/43, 8282/180 is

GCF of Numerators i.e. for 722,8282 is 2

LCM of denominators i.e. for 43,180 is 7740.

Thus, GCF of Fractions is 2/7740.Finally, GCF of Fractions for 722/43, 8282/180 is 2/7740.