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GCF of 7321/367, 8394/168

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 7321/367, 8394/168 i.e 1/61656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7321/367, 8394/168.

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 7321/367,8394/168?

Given fractions are 7321/367,8394/168

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 7321/367,8394/168, numerators are 7321,8394

Denominators are 367,168

The GCF of 7321,8394 is 1 .

LCM of 367,168 is 61656.

The greatest common factor of 7321/367,8394/168 = [GCF of 7321,8394]/[LCM of 367,168]= 1/61656

Therefore, the GCF of 7321/367,8394/168 is 1/61656.

Greatest Common Factor of 7321,8394

To find the highest common factor of 7321,8394, we have to find the factors of both numbers and list the highest common factor.

The factors of 7321 are 1, 7321

The factors of 8394 are 1, 2, 3, 6, 1399, 2798, 4197, 8394

The HCF of 7321,8394 is 1.

Lets's calculate GCF of 7321,8394

Greatest Common Factor (GCF) of 7321,8394 By Common Division

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

Greatest Common Factor of 7321,8394 By Matching Biggest Common Factor Method

Greatest Common Factor of 7321,8394 By Matching Biggest Common Factor Method

Now, list down the factors of 7321

:

1,7321

Now, list down the factors of 8394

:

1,2,3,6,1399,2798,4197,8394

Greatest Common Factor

We found the factors 7321,8394 . The biggest common factor number is the GCF number.
So the greatest common factor 7321,8394 is 1.

Lets's calculate LCM of 367,168

Lowest Common Multiple of 367,168 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 61656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61656

Therefore, the GCF of Fractions 7321/367,8394/168 is 1/61656

Least Common Multiple of 367,168 with GCF Formula

Least Common Multiple of 367,168 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 367,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,168) = 1

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

GCF(367,168) x common factors =1 x 1 = 1

LCM(367,168) = ( 367 × 168 ) / 1

LCM(367,168) = 61656 / 1

LCM(367,168) = 61656


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FAQs on GCF of Fractions of 7321/367, 8394/168

1. What is the HCF of 7321,8394?

The HCF of 7321,8394 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 7321/367, 8394/168?

Answer: GCF of Numerators as per given numbers 7321/367, 8394/168 is

GCF of Numerators i.e. for 7321,8394 is 1

LCM of denominators i.e. for 367,168 is 61656.

Thus, GCF of Fractions is 1/61656.Finally, GCF of Fractions for 7321/367, 8394/168 is 1/61656.