Greatest Common Factor of 221/16, 297/7262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 221/16, 297/7262

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 221/16,297/7262

Given fractions are 221/16,297/7262

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 221,297

Greatest Common Factor of Numerators i.e. GCF of 221,297 is 1 .

LCM of Denominators means LCM of 16,7262 as per the given fractions.

LCM of 16,7262 is 58096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 221,297

GCF of Fractions 221/16,297/7262 is 1/58096

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

Greatest Common Factor of 221,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,297 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 221,297 . The biggest common factor number is the GCF number.
So the greatest common factor 221,297 is 1.

Lets's calculate LCM of 16,7262

2 16, 7262
8, 3631

∴ So the LCM of the given numbers is 2 x 8 x 3631 = 58096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58096

Therefore, the GCF of Fractions 221/16,297/7262 is 1/58096

Least Common Multiple of 16,7262 with GCF Formula

Least Common Multiple of 16,7262 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 16,7262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,7262) = 2

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

GCF(16,7262) x common factors =2 x 1 = 2

LCM(16,7262) = ( 16 × 7262 ) / 2

LCM(16,7262) = 116192 / 2

LCM(16,7262) = 58096


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 221/16, 297/7262

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 221/16, 297/7262?

Answer: GCF of Numerators as per given numbers 221/16, 297/7262 is

GCF of Numerators i.e. for 221,297 is 1

LCM of denominators i.e. for 16,7262 is 58096.

Thus, GCF of Fractions is 1/58096.Finally, GCF of Fractions for 221/16, 297/7262 is 1/58096.