Greatest Common Factor of 7/84, 52/40, 20/250, 720/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/84, 52/40, 20/250, 720/412

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 7/84,52/40,20/250,720/412

Given fractions are 7/84,52/40,20/250,720/412

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 7,52,20,720

Greatest Common Factor of Numerators i.e. GCF of 7,52,20,720 is 1 .

LCM of Denominators means LCM of 84,40,250,412 as per the given fractions.

LCM of 84,40,250,412 is 2163000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,52,20,720

GCF of Fractions 7/84,52/40,20/250,720/412 is 1/2163000

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

Greatest Common Factor of 7,52,20,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,52,20,720 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

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 7,52,20,720 . The biggest common factor number is the GCF number.
So the greatest common factor 7,52,20,720 is 1.

Lets's calculate LCM of 84,40,250,412

2 84, 40, 250, 412
2 42, 20, 125, 206
5 21, 10, 125, 103
21, 2, 25, 103

∴ So the LCM of the given numbers is 2 x 2 x 5 x 21 x 2 x 25 x 103 = 2163000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2163000

Therefore, the GCF of Fractions 7/84,52/40,20/250,720/412 is 1/2163000

Least Common Multiple of 84,40,250,412 with GCF Formula

Least Common Multiple of 84,40,250,412 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 84,40,250,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,40,250,412) = 2

common factors(in case of two or more numbers have common factors) = 80

GCF(84,40,250,412) x common factors =2 x 80 = 160

LCM(84,40,250,412) = ( 84 × 40 × 250 × 412 ) / 160

LCM(84,40,250,412) = 346080000 / 160

LCM(84,40,250,412) = 2163000


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 7/84, 52/40, 20/250, 720/412

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 7/84, 52/40, 20/250, 720/412?

Answer: GCF of Numerators as per given numbers 7/84, 52/40, 20/250, 720/412 is

GCF of Numerators i.e. for 7,52,20,720 is 1

LCM of denominators i.e. for 84,40,250,412 is 2163000.

Thus, GCF of Fractions is 1/2163000.Finally, GCF of Fractions for 7/84, 52/40, 20/250, 720/412 is 1/2163000.