Greatest Common Factor of 9217/550, 1413/2176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9217/550, 1413/2176

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 9217/550,1413/2176

Given fractions are 9217/550,1413/2176

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 9217,1413

Greatest Common Factor of Numerators i.e. GCF of 9217,1413 is 1 .

LCM of Denominators means LCM of 550,2176 as per the given fractions.

LCM of 550,2176 is 598400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9217,1413

GCF of Fractions 9217/550,1413/2176 is 1/598400

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

Greatest Common Factor of 9217,1413 By Matching Biggest Common Factor Method

Greatest Common Factor of 9217,1413 By Matching Biggest Common Factor Method

Factors of 9217

List of positive integer factors of 9217 that divides 9217 without a remainder.

1,13,709,9217

Factors of 1413

List of positive integer factors of 1413 that divides 1413 without a remainder.

1,3,9,157,471,1413

Greatest Common Factor

We found the factors 9217,1413 . The biggest common factor number is the GCF number.
So the greatest common factor 9217,1413 is 1.

Lets's calculate LCM of 550,2176

2 550, 2176
275, 1088

∴ So the LCM of the given numbers is 2 x 275 x 1088 = 598400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598400

Therefore, the GCF of Fractions 9217/550,1413/2176 is 1/598400

Least Common Multiple of 550,2176 with GCF Formula

Least Common Multiple of 550,2176 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 550,2176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,2176) = 2

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

GCF(550,2176) x common factors =2 x 1 = 2

LCM(550,2176) = ( 550 × 2176 ) / 2

LCM(550,2176) = 1196800 / 2

LCM(550,2176) = 598400


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 9217/550, 1413/2176

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 9217/550, 1413/2176?

Answer: GCF of Numerators as per given numbers 9217/550, 1413/2176 is

GCF of Numerators i.e. for 9217,1413 is 1

LCM of denominators i.e. for 550,2176 is 598400.

Thus, GCF of Fractions is 1/598400.Finally, GCF of Fractions for 9217/550, 1413/2176 is 1/598400.