Greatest Common Factor of 80/652, 720/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/652, 720/427

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 80/652,720/427

Given fractions are 80/652,720/427

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 80,720

Greatest Common Factor of Numerators i.e. GCF of 80,720 is 80 .

LCM of Denominators means LCM of 652,427 as per the given fractions.

LCM of 652,427 is 278404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,720

GCF of Fractions 80/652,720/427 is 80/278404

2 80, 720
2 40, 360
2 20, 180
2 10, 90
5 5, 45
1, 9

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80

Greatest Common Factor of 80,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,720 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 80,720 . The biggest common factor number is the GCF number.
So the greatest common factor 80,720 is 80.

Lets's calculate LCM of 652,427

Given numbers has no common factors except 1. So, there LCM is their product i.e 278404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 80/278404

Therefore, the GCF of Fractions 80/652,720/427 is 80/278404

Least Common Multiple of 652,427 with GCF Formula

Least Common Multiple of 652,427 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 652,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,427) = 1

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

GCF(652,427) x common factors =1 x 1 = 1

LCM(652,427) = ( 652 × 427 ) / 1

LCM(652,427) = 278404 / 1

LCM(652,427) = 278404


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 80/652, 720/427

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 80/652, 720/427?

Answer: GCF of Numerators as per given numbers 80/652, 720/427 is

GCF of Numerators i.e. for 80,720 is 80

LCM of denominators i.e. for 652,427 is 278404.

Thus, GCF of Fractions is 80/278404.Finally, GCF of Fractions for 80/652, 720/427 is 80/278404.