Greatest Common Factor of 2991/221, 9007/1613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2991/221, 9007/1613

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 2991/221,9007/1613

Given fractions are 2991/221,9007/1613

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 2991,9007

Greatest Common Factor of Numerators i.e. GCF of 2991,9007 is 1 .

LCM of Denominators means LCM of 221,1613 as per the given fractions.

LCM of 221,1613 is 356473 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2991,9007

GCF of Fractions 2991/221,9007/1613 is 1/356473

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

Greatest Common Factor of 2991,9007 By Matching Biggest Common Factor Method

Greatest Common Factor of 2991,9007 By Matching Biggest Common Factor Method

Factors of 2991

List of positive integer factors of 2991 that divides 2991 without a remainder.

1,3,997,2991

Factors of 9007

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

1,9007

Greatest Common Factor

We found the factors 2991,9007 . The biggest common factor number is the GCF number.
So the greatest common factor 2991,9007 is 1.

Lets's calculate LCM of 221,1613

Given numbers has no common factors except 1. So, there LCM is their product i.e 356473

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356473

Therefore, the GCF of Fractions 2991/221,9007/1613 is 1/356473

Least Common Multiple of 221,1613 with GCF Formula

Least Common Multiple of 221,1613 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 221,1613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,1613) = 1

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

GCF(221,1613) x common factors =1 x 1 = 1

LCM(221,1613) = ( 221 × 1613 ) / 1

LCM(221,1613) = 356473 / 1

LCM(221,1613) = 356473


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 2991/221, 9007/1613

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 2991/221, 9007/1613?

Answer: GCF of Numerators as per given numbers 2991/221, 9007/1613 is

GCF of Numerators i.e. for 2991,9007 is 1

LCM of denominators i.e. for 221,1613 is 356473.

Thus, GCF of Fractions is 1/356473.Finally, GCF of Fractions for 2991/221, 9007/1613 is 1/356473.