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GCF of 273/342, 365/916

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 273/342, 365/916 i.e 1/156636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 273/342, 365/916.

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 273/342,365/916?

Given fractions are 273/342,365/916

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 273/342,365/916, numerators are 273,365

Denominators are 342,916

The GCF of 273,365 is 1 .

LCM of 342,916 is 156636.

The greatest common factor of 273/342,365/916 = [GCF of 273,365]/[LCM of 342,916]= 1/156636

Therefore, the GCF of 273/342,365/916 is 1/156636.

Greatest Common Factor of 273,365

To find the highest common factor of 273,365, we have to find the factors of both numbers and list the highest common factor.

The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273

The factors of 365 are 1, 5, 73, 365

The HCF of 273,365 is 1.

Lets's calculate GCF of 273,365

Greatest Common Factor (GCF) of 273,365 By Common Division

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

Greatest Common Factor of 273,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,365 By Matching Biggest Common Factor Method

Now, list down the factors of 273

:

1,3,7,13,21,39,91,273

Now, list down the factors of 365

:

1,5,73,365

Greatest Common Factor

We found the factors 273,365 . The biggest common factor number is the GCF number.
So the greatest common factor 273,365 is 1.

Lets's calculate LCM of 342,916

Lowest Common Multiple of 342,916 using Common Division

2 342, 916
171, 458

∴ So the LCM of the given numbers is 2 x 171 x 458 = 156636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156636

Therefore, the GCF of Fractions 273/342,365/916 is 1/156636

Least Common Multiple of 342,916 with GCF Formula

Least Common Multiple of 342,916 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 342,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,916) = 2

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

GCF(342,916) x common factors =2 x 1 = 2

LCM(342,916) = ( 342 × 916 ) / 2

LCM(342,916) = 313272 / 2

LCM(342,916) = 156636


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FAQs on GCF of Fractions of 273/342, 365/916

1. What is the HCF of 273,365?

The HCF of 273,365 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 273/342, 365/916?

Answer: GCF of Numerators as per given numbers 273/342, 365/916 is

GCF of Numerators i.e. for 273,365 is 1

LCM of denominators i.e. for 342,916 is 156636.

Thus, GCF of Fractions is 1/156636.Finally, GCF of Fractions for 273/342, 365/916 is 1/156636.