Greatest Common Factor of 9221/385, 4483/2659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9221/385, 4483/2659

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 9221/385,4483/2659

Given fractions are 9221/385,4483/2659

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 9221,4483

Greatest Common Factor of Numerators i.e. GCF of 9221,4483 is 1 .

LCM of Denominators means LCM of 385,2659 as per the given fractions.

LCM of 385,2659 is 1023715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9221,4483

GCF of Fractions 9221/385,4483/2659 is 1/1023715

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

Greatest Common Factor of 9221,4483 By Matching Biggest Common Factor Method

Greatest Common Factor of 9221,4483 By Matching Biggest Common Factor Method

Factors of 9221

List of positive integer factors of 9221 that divides 9221 without a remainder.

1,9221

Factors of 4483

List of positive integer factors of 4483 that divides 4483 without a remainder.

1,4483

Greatest Common Factor

We found the factors 9221,4483 . The biggest common factor number is the GCF number.
So the greatest common factor 9221,4483 is 1.

Lets's calculate LCM of 385,2659

Given numbers has no common factors except 1. So, there LCM is their product i.e 1023715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1023715

Therefore, the GCF of Fractions 9221/385,4483/2659 is 1/1023715

Least Common Multiple of 385,2659 with GCF Formula

Least Common Multiple of 385,2659 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 385,2659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,2659) = 1

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

GCF(385,2659) x common factors =1 x 1 = 1

LCM(385,2659) = ( 385 × 2659 ) / 1

LCM(385,2659) = 1023715 / 1

LCM(385,2659) = 1023715


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 9221/385, 4483/2659

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 9221/385, 4483/2659?

Answer: GCF of Numerators as per given numbers 9221/385, 4483/2659 is

GCF of Numerators i.e. for 9221,4483 is 1

LCM of denominators i.e. for 385,2659 is 1023715.

Thus, GCF of Fractions is 1/1023715.Finally, GCF of Fractions for 9221/385, 4483/2659 is 1/1023715.