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GCF of 235/66, 231/592

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 235/66, 231/592 i.e 1/19536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 235/66, 231/592.

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 235/66,231/592?

Given fractions are 235/66,231/592

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 235/66,231/592, numerators are 235,231

Denominators are 66,592

The GCF of 235,231 is 1 .

LCM of 66,592 is 19536.

The greatest common factor of 235/66,231/592 = [GCF of 235,231]/[LCM of 66,592]= 1/19536

Therefore, the GCF of 235/66,231/592 is 1/19536.

Greatest Common Factor of 235,231

To find the highest common factor of 235,231, we have to find the factors of both numbers and list the highest common factor.

The factors of 235 are 1, 5, 47, 235

The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231

The HCF of 235,231 is 1.

Lets's calculate GCF of 235,231

Greatest Common Factor (GCF) of 235,231 By Common Division

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

Greatest Common Factor of 235,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,231 By Matching Biggest Common Factor Method

Now, list down the factors of 235

:

1,5,47,235

Now, list down the factors of 231

:

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 235,231 . The biggest common factor number is the GCF number.
So the greatest common factor 235,231 is 1.

Lets's calculate LCM of 66,592

Lowest Common Multiple of 66,592 using Common Division

2 66, 592
33, 296

∴ So the LCM of the given numbers is 2 x 33 x 296 = 19536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19536

Therefore, the GCF of Fractions 235/66,231/592 is 1/19536

Least Common Multiple of 66,592 with GCF Formula

Least Common Multiple of 66,592 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 66,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,592) = 2

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

GCF(66,592) x common factors =2 x 1 = 2

LCM(66,592) = ( 66 × 592 ) / 2

LCM(66,592) = 39072 / 2

LCM(66,592) = 19536


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FAQs on GCF of Fractions of 235/66, 231/592

1. What is the HCF of 235,231?

The HCF of 235,231 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 235/66, 231/592?

Answer: GCF of Numerators as per given numbers 235/66, 231/592 is

GCF of Numerators i.e. for 235,231 is 1

LCM of denominators i.e. for 66,592 is 19536.

Thus, GCF of Fractions is 1/19536.Finally, GCF of Fractions for 235/66, 231/592 is 1/19536.