Greatest Common Factor of 9013/440, 5967/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9013/440, 5967/250

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 9013/440,5967/250

Given fractions are 9013/440,5967/250

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 9013,5967

Greatest Common Factor of Numerators i.e. GCF of 9013,5967 is 1 .

LCM of Denominators means LCM of 440,250 as per the given fractions.

LCM of 440,250 is 11000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9013,5967

GCF of Fractions 9013/440,5967/250 is 1/11000

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

Greatest Common Factor of 9013,5967 By Matching Biggest Common Factor Method

Greatest Common Factor of 9013,5967 By Matching Biggest Common Factor Method

Factors of 9013

List of positive integer factors of 9013 that divides 9013 without a remainder.

1,9013

Factors of 5967

List of positive integer factors of 5967 that divides 5967 without a remainder.

1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967

Greatest Common Factor

We found the factors 9013,5967 . The biggest common factor number is the GCF number.
So the greatest common factor 9013,5967 is 1.

Lets's calculate LCM of 440,250

2 440, 250
5 220, 125
44, 25

∴ So the LCM of the given numbers is 2 x 5 x 44 x 25 = 11000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11000

Therefore, the GCF of Fractions 9013/440,5967/250 is 1/11000

Least Common Multiple of 440,250 with GCF Formula

Least Common Multiple of 440,250 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 440,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,250) = 10

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

GCF(440,250) x common factors =10 x 1 = 10

LCM(440,250) = ( 440 × 250 ) / 10

LCM(440,250) = 110000 / 10

LCM(440,250) = 11000


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 9013/440, 5967/250

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 9013/440, 5967/250?

Answer: GCF of Numerators as per given numbers 9013/440, 5967/250 is

GCF of Numerators i.e. for 9013,5967 is 1

LCM of denominators i.e. for 440,250 is 11000.

Thus, GCF of Fractions is 1/11000.Finally, GCF of Fractions for 9013/440, 5967/250 is 1/11000.