Greatest Common Factor of 9008/59, 5272/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9008/59, 5272/210

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 9008/59,5272/210

Given fractions are 9008/59,5272/210

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 9008,5272

Greatest Common Factor of Numerators i.e. GCF of 9008,5272 is 8 .

LCM of Denominators means LCM of 59,210 as per the given fractions.

LCM of 59,210 is 12390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9008,5272

GCF of Fractions 9008/59,5272/210 is 8/12390

2 9008, 5272
2 4504, 2636
2 2252, 1318
1126, 659

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9008,5272 By Matching Biggest Common Factor Method

Greatest Common Factor of 9008,5272 By Matching Biggest Common Factor Method

Factors of 9008

List of positive integer factors of 9008 that divides 9008 without a remainder.

1,2,4,8,16,563,1126,2252,4504,9008

Factors of 5272

List of positive integer factors of 5272 that divides 5272 without a remainder.

1,2,4,8,659,1318,2636,5272

Greatest Common Factor

We found the factors 9008,5272 . The biggest common factor number is the GCF number.
So the greatest common factor 9008,5272 is 8.

Lets's calculate LCM of 59,210

Given numbers has no common factors except 1. So, there LCM is their product i.e 12390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/12390

Therefore, the GCF of Fractions 9008/59,5272/210 is 8/12390

Least Common Multiple of 59,210 with GCF Formula

Least Common Multiple of 59,210 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 59,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,210) = 1

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

GCF(59,210) x common factors =1 x 1 = 1

LCM(59,210) = ( 59 × 210 ) / 1

LCM(59,210) = 12390 / 1

LCM(59,210) = 12390


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 9008/59, 5272/210

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 9008/59, 5272/210?

Answer: GCF of Numerators as per given numbers 9008/59, 5272/210 is

GCF of Numerators i.e. for 9008,5272 is 8

LCM of denominators i.e. for 59,210 is 12390.

Thus, GCF of Fractions is 8/12390.Finally, GCF of Fractions for 9008/59, 5272/210 is 8/12390.