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GCF of 233/87, 238/327

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 233/87, 238/327 i.e 1/9483 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/87, 238/327.

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 233/87,238/327?

Given fractions are 233/87,238/327

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 233/87,238/327, numerators are 233,238

Denominators are 87,327

The GCF of 233,238 is 1 .

LCM of 87,327 is 9483.

The greatest common factor of 233/87,238/327 = [GCF of 233,238]/[LCM of 87,327]= 1/9483

Therefore, the GCF of 233/87,238/327 is 1/9483.

Greatest Common Factor of 233,238

To find the highest common factor of 233,238, we have to find the factors of both numbers and list the highest common factor.

The factors of 233 are 1, 233

The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238

The HCF of 233,238 is 1.

Lets's calculate GCF of 233,238

Greatest Common Factor (GCF) of 233,238 By Common Division

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

Greatest Common Factor of 233,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,238 By Matching Biggest Common Factor Method

Now, list down the factors of 233

:

1,233

Now, list down the factors of 238

:

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 233,238 . The biggest common factor number is the GCF number.
So the greatest common factor 233,238 is 1.

Lets's calculate LCM of 87,327

Lowest Common Multiple of 87,327 using Common Division

3 87, 327
29, 109

∴ So the LCM of the given numbers is 3 x 29 x 109 = 9483

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9483

Therefore, the GCF of Fractions 233/87,238/327 is 1/9483

Least Common Multiple of 87,327 with GCF Formula

Least Common Multiple of 87,327 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 87,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,327) = 3

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

GCF(87,327) x common factors =3 x 1 = 3

LCM(87,327) = ( 87 × 327 ) / 3

LCM(87,327) = 28449 / 3

LCM(87,327) = 9483


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FAQs on GCF of Fractions of 233/87, 238/327

1. What is the HCF of 233,238?

The HCF of 233,238 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 233/87, 238/327?

Answer: GCF of Numerators as per given numbers 233/87, 238/327 is

GCF of Numerators i.e. for 233,238 is 1

LCM of denominators i.e. for 87,327 is 9483.

Thus, GCF of Fractions is 1/9483.Finally, GCF of Fractions for 233/87, 238/327 is 1/9483.