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GCF of 7369/441, 8327/179

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 7369/441, 8327/179 i.e 1/78939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7369/441, 8327/179.

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 7369/441,8327/179?

Given fractions are 7369/441,8327/179

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 7369/441,8327/179, numerators are 7369,8327

Denominators are 441,179

The GCF of 7369,8327 is 1 .

LCM of 441,179 is 78939.

The greatest common factor of 7369/441,8327/179 = [GCF of 7369,8327]/[LCM of 441,179]= 1/78939

Therefore, the GCF of 7369/441,8327/179 is 1/78939.

Greatest Common Factor of 7369,8327

To find the highest common factor of 7369,8327, we have to find the factors of both numbers and list the highest common factor.

The factors of 7369 are 1, 7369

The factors of 8327 are 1, 11, 757, 8327

The HCF of 7369,8327 is 1.

Lets's calculate GCF of 7369,8327

Greatest Common Factor (GCF) of 7369,8327 By Common Division

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

Greatest Common Factor of 7369,8327 By Matching Biggest Common Factor Method

Greatest Common Factor of 7369,8327 By Matching Biggest Common Factor Method

Now, list down the factors of 7369

:

1,7369

Now, list down the factors of 8327

:

1,11,757,8327

Greatest Common Factor

We found the factors 7369,8327 . The biggest common factor number is the GCF number.
So the greatest common factor 7369,8327 is 1.

Lets's calculate LCM of 441,179

Lowest Common Multiple of 441,179 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 78939

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78939

Therefore, the GCF of Fractions 7369/441,8327/179 is 1/78939

Least Common Multiple of 441,179 with GCF Formula

Least Common Multiple of 441,179 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 441,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,179) = 1

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

GCF(441,179) x common factors =1 x 1 = 1

LCM(441,179) = ( 441 × 179 ) / 1

LCM(441,179) = 78939 / 1

LCM(441,179) = 78939


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FAQs on GCF of Fractions of 7369/441, 8327/179

1. What is the HCF of 7369,8327?

The HCF of 7369,8327 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 7369/441, 8327/179?

Answer: GCF of Numerators as per given numbers 7369/441, 8327/179 is

GCF of Numerators i.e. for 7369,8327 is 1

LCM of denominators i.e. for 441,179 is 78939.

Thus, GCF of Fractions is 1/78939.Finally, GCF of Fractions for 7369/441, 8327/179 is 1/78939.