How to Find GCF of 9227/663, 2737/3247?

GCF of 9227/663, 2737/3247

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9227/663, 2737/3247 i.e 1/126633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9227/663, 2737/3247.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9227/663,2737/3247?

Given fractions are 9227/663,2737/3247

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9227/663,2737/3247, numerators are 9227,2737

Denominators are 663,3247

The GCF of 9227,2737 is 1 .

LCM of 663,3247 is 126633.

The greatest common factor of 9227/663,2737/3247 = [GCF of 9227,2737]/[LCM of 663,3247]= 1/126633

Therefore, the GCF of 9227/663,2737/3247 is 1/126633.

Greatest Common Factor of 9227,2737

To find the highest common factor of 9227,2737, we have to find the factors of both numbers and list the highest common factor.

The factors of 9227 are 1, 9227

The factors of 2737 are 1, 7, 17, 23, 119, 161, 391, 2737

The HCF of 9227,2737 is 1.

Lets's calculate GCF of 9227,2737

Greatest Common Factor (GCF) of 9227,2737 By Common Division

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

Greatest Common Factor of 9227,2737 By Matching Biggest Common Factor Method

Now, list down the factors of 9227

1,9227

Now, list down the factors of 2737

1,7,17,23,119,161,391,2737

Greatest Common Factor

We found the factors 9227,2737 . The biggest common factor number is the GCF number.
So the greatest common factor 9227,2737 is 1.

Lets's calculate LCM of 663,3247

Lowest Common Multiple of 663,3247 using Common Division

17	663, 3247
	39, 191

∴ So the LCM of the given numbers is 17 x 39 x 191 = 126633

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126633

Therefore, the GCF of Fractions 9227/663,2737/3247 is 1/126633

Least Common Multiple of 663,3247 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 663,3247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,3247) = 17

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

GCF(663,3247) x common factors =17 x 1 = 17

LCM(663,3247) = ( 663 × 3247 ) / 17

LCM(663,3247) = 2152761 / 17

LCM(663,3247) = 126633

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9227/663, 2737/3247

1. What is the HCF of 9227,2737?

The HCF of 9227,2737 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 9227/663, 2737/3247?

Answer: GCF of Numerators as per given numbers 9227/663, 2737/3247 is

GCF of Numerators i.e. for 9227,2737 is 1

LCM of denominators i.e. for 663,3247 is 126633.

Thus, GCF of Fractions is 1/126633.Finally, GCF of Fractions for 9227/663, 2737/3247 is 1/126633.