Greatest Common Factor of 63/75, 48/72, 360/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/75, 48/72, 360/510

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 63/75,48/72,360/510

Given fractions are 63/75,48/72,360/510

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 63,48,360

Greatest Common Factor of Numerators i.e. GCF of 63,48,360 is 3 .

LCM of Denominators means LCM of 75,72,510 as per the given fractions.

LCM of 75,72,510 is 30600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,48,360

GCF of Fractions 63/75,48/72,360/510 is 3/30600

3 63, 48, 360
21, 16, 120

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 63,48,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,48,360 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

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

Greatest Common Factor

We found the factors 63,48,360 . The biggest common factor number is the GCF number.
So the greatest common factor 63,48,360 is 3.

Lets's calculate LCM of 75,72,510

2 75, 72, 510
3 75, 36, 255
5 25, 12, 85
5, 12, 17

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 12 x 17 = 30600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30600

Therefore, the GCF of Fractions 63/75,48/72,360/510 is 3/30600

Least Common Multiple of 75,72,510 with GCF Formula

Least Common Multiple of 75,72,510 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 75,72,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,72,510) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(75,72,510) x common factors =3 x 30 = 90

LCM(75,72,510) = ( 75 × 72 × 510 ) / 90

LCM(75,72,510) = 2754000 / 90

LCM(75,72,510) = 30600


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 63/75, 48/72, 360/510

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 63/75, 48/72, 360/510?

Answer: GCF of Numerators as per given numbers 63/75, 48/72, 360/510 is

GCF of Numerators i.e. for 63,48,360 is 3

LCM of denominators i.e. for 75,72,510 is 30600.

Thus, GCF of Fractions is 3/30600.Finally, GCF of Fractions for 63/75, 48/72, 360/510 is 3/30600.