Greatest Common Factor of 9075/59, 1230/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9075/59, 1230/822

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 9075/59,1230/822

Given fractions are 9075/59,1230/822

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 9075,1230

Greatest Common Factor of Numerators i.e. GCF of 9075,1230 is 15 .

LCM of Denominators means LCM of 59,822 as per the given fractions.

LCM of 59,822 is 48498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9075,1230

GCF of Fractions 9075/59,1230/822 is 15/48498

3 9075, 1230
5 3025, 410
605, 82

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 9075,1230 By Matching Biggest Common Factor Method

Greatest Common Factor of 9075,1230 By Matching Biggest Common Factor Method

Factors of 9075

List of positive integer factors of 9075 that divides 9075 without a remainder.

1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075

Factors of 1230

List of positive integer factors of 1230 that divides 1230 without a remainder.

1,2,3,5,6,10,15,30,41,82,123,205,246,410,615,1230

Greatest Common Factor

We found the factors 9075,1230 . The biggest common factor number is the GCF number.
So the greatest common factor 9075,1230 is 15.

Lets's calculate LCM of 59,822

Given numbers has no common factors except 1. So, there LCM is their product i.e 48498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/48498

Therefore, the GCF of Fractions 9075/59,1230/822 is 15/48498

Least Common Multiple of 59,822 with GCF Formula

Least Common Multiple of 59,822 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 59,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,822) = 1

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

GCF(59,822) x common factors =1 x 1 = 1

LCM(59,822) = ( 59 × 822 ) / 1

LCM(59,822) = 48498 / 1

LCM(59,822) = 48498


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 9075/59, 1230/822

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 9075/59, 1230/822?

Answer: GCF of Numerators as per given numbers 9075/59, 1230/822 is

GCF of Numerators i.e. for 9075,1230 is 15

LCM of denominators i.e. for 59,822 is 48498.

Thus, GCF of Fractions is 15/48498.Finally, GCF of Fractions for 9075/59, 1230/822 is 15/48498.