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GCF of 115/274, 9219/3266

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 115/274, 9219/3266 i.e 1/447442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 115/274, 9219/3266.

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 115/274,9219/3266?

Given fractions are 115/274,9219/3266

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 115/274,9219/3266, numerators are 115,9219

Denominators are 274,3266

The GCF of 115,9219 is 1 .

LCM of 274,3266 is 447442.

The greatest common factor of 115/274,9219/3266 = [GCF of 115,9219]/[LCM of 274,3266]= 1/447442

Therefore, the GCF of 115/274,9219/3266 is 1/447442.

Greatest Common Factor of 115,9219

To find the highest common factor of 115,9219, we have to find the factors of both numbers and list the highest common factor.

The factors of 115 are 1, 5, 23, 115

The factors of 9219 are 1, 3, 7, 21, 439, 1317, 3073, 9219

The HCF of 115,9219 is 1.

Lets's calculate GCF of 115,9219

Greatest Common Factor (GCF) of 115,9219 By Common Division

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

Greatest Common Factor of 115,9219 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,9219 By Matching Biggest Common Factor Method

Now, list down the factors of 115

:

1,5,23,115

Now, list down the factors of 9219

:

1,3,7,21,439,1317,3073,9219

Greatest Common Factor

We found the factors 115,9219 . The biggest common factor number is the GCF number.
So the greatest common factor 115,9219 is 1.

Lets's calculate LCM of 274,3266

Lowest Common Multiple of 274,3266 using Common Division

2 274, 3266
137, 1633

∴ So the LCM of the given numbers is 2 x 137 x 1633 = 447442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447442

Therefore, the GCF of Fractions 115/274,9219/3266 is 1/447442

Least Common Multiple of 274,3266 with GCF Formula

Least Common Multiple of 274,3266 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 274,3266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,3266) = 2

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

GCF(274,3266) x common factors =2 x 1 = 2

LCM(274,3266) = ( 274 × 3266 ) / 2

LCM(274,3266) = 894884 / 2

LCM(274,3266) = 447442


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FAQs on GCF of Fractions of 115/274, 9219/3266

1. What is the HCF of 115,9219?

The HCF of 115,9219 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 115/274, 9219/3266?

Answer: GCF of Numerators as per given numbers 115/274, 9219/3266 is

GCF of Numerators i.e. for 115,9219 is 1

LCM of denominators i.e. for 274,3266 is 447442.

Thus, GCF of Fractions is 1/447442.Finally, GCF of Fractions for 115/274, 9219/3266 is 1/447442.