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GCF of 2187/661, 9322/1353

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 2187/661, 9322/1353 i.e 1/894333 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2187/661, 9322/1353.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 2187/661,9322/1353?

Given fractions are 2187/661,9322/1353

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 2187/661,9322/1353, numerators are 2187,9322

Denominators are 661,1353

The GCF of 2187,9322 is 1 .

LCM of 661,1353 is 894333.

The greatest common factor of 2187/661,9322/1353 = [GCF of 2187,9322]/[LCM of 661,1353]= 1/894333

Therefore, the GCF of 2187/661,9322/1353 is 1/894333.

Greatest Common Factor of 2187,9322

To find the highest common factor of 2187,9322, we have to find the factors of both numbers and list the highest common factor.

The factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187

The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322

The HCF of 2187,9322 is 1.

Lets's calculate GCF of 2187,9322

Greatest Common Factor (GCF) of 2187,9322 By Common Division

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

Greatest Common Factor of 2187,9322 By Matching Biggest Common Factor Method

Greatest Common Factor of 2187,9322 By Matching Biggest Common Factor Method

Now, list down the factors of 2187

:

1,3,9,27,81,243,729,2187

Now, list down the factors of 9322

:

1,2,59,79,118,158,4661,9322

Greatest Common Factor

We found the factors 2187,9322 . The biggest common factor number is the GCF number.
So the greatest common factor 2187,9322 is 1.


Lets's calculate LCM of 661,1353

Lowest Common Multiple of 661,1353 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 894333

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/894333

Therefore, the GCF of Fractions 2187/661,9322/1353 is 1/894333

Least Common Multiple of 661,1353 with GCF Formula

Least Common Multiple of 661,1353 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 661,1353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,1353) = 1

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

GCF(661,1353) x common factors =1 x 1 = 1

LCM(661,1353) = ( 661 × 1353 ) / 1

LCM(661,1353) = 894333 / 1

LCM(661,1353) = 894333


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2187/661, 9322/1353

1. What is the HCF of 2187,9322?

The HCF of 2187,9322 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 2187/661, 9322/1353?

Answer: GCF of Numerators as per given numbers 2187/661, 9322/1353 is

GCF of Numerators i.e. for 2187,9322 is 1

LCM of denominators i.e. for 661,1353 is 894333.

Thus, GCF of Fractions is 1/894333.Finally, GCF of Fractions for 2187/661, 9322/1353 is 1/894333.