Greatest Common Factor of 9007/95, 4989/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9007/95, 4989/122

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 9007/95,4989/122

Given fractions are 9007/95,4989/122

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 9007,4989

Greatest Common Factor of Numerators i.e. GCF of 9007,4989 is 1 .

LCM of Denominators means LCM of 95,122 as per the given fractions.

LCM of 95,122 is 11590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9007,4989

GCF of Fractions 9007/95,4989/122 is 1/11590

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

Greatest Common Factor of 9007,4989 By Matching Biggest Common Factor Method

Greatest Common Factor of 9007,4989 By Matching Biggest Common Factor Method

Factors of 9007

List of positive integer factors of 9007 that divides 9007 without a remainder.

1,9007

Factors of 4989

List of positive integer factors of 4989 that divides 4989 without a remainder.

1,3,1663,4989

Greatest Common Factor

We found the factors 9007,4989 . The biggest common factor number is the GCF number.
So the greatest common factor 9007,4989 is 1.


Lets's calculate LCM of 95,122

Given numbers has no common factors except 1. So, there LCM is their product i.e 11590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11590

Therefore, the GCF of Fractions 9007/95,4989/122 is 1/11590

Least Common Multiple of 95,122 with GCF Formula

Least Common Multiple of 95,122 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 95,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,122) = 1

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

GCF(95,122) x common factors =1 x 1 = 1

LCM(95,122) = ( 95 × 122 ) / 1

LCM(95,122) = 11590 / 1

LCM(95,122) = 11590


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9007/95, 4989/122

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 9007/95, 4989/122?

Answer: GCF of Numerators as per given numbers 9007/95, 4989/122 is

GCF of Numerators i.e. for 9007,4989 is 1

LCM of denominators i.e. for 95,122 is 11590.

Thus, GCF of Fractions is 1/11590.Finally, GCF of Fractions for 9007/95, 4989/122 is 1/11590.