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GCF of 237/479, 486/522

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 237/479, 486/522 i.e 3/250038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 237/479, 486/522.

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 237/479,486/522?

Given fractions are 237/479,486/522

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 237/479,486/522, numerators are 237,486

Denominators are 479,522

The GCF of 237,486 is 3 .

LCM of 479,522 is 250038.

The greatest common factor of 237/479,486/522 = [GCF of 237,486]/[LCM of 479,522]= 3/250038

Therefore, the GCF of 237/479,486/522 is 3/250038.

Greatest Common Factor of 237,486

To find the highest common factor of 237,486, we have to find the factors of both numbers and list the highest common factor.

The factors of 237 are 1, 3, 79, 237

The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

The HCF of 237,486 is 3.

Lets's calculate GCF of 237,486

Greatest Common Factor (GCF) of 237,486 By Common Division

3 237, 486
79, 162

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 237,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,486 By Matching Biggest Common Factor Method

Now, list down the factors of 237

:

1,3,79,237

Now, list down the factors of 486

:

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 237,486 . The biggest common factor number is the GCF number.
So the greatest common factor 237,486 is 3.

Lets's calculate LCM of 479,522

Lowest Common Multiple of 479,522 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 250038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/250038

Therefore, the GCF of Fractions 237/479,486/522 is 3/250038

Least Common Multiple of 479,522 with GCF Formula

Least Common Multiple of 479,522 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 479,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,522) = 1

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

GCF(479,522) x common factors =1 x 1 = 1

LCM(479,522) = ( 479 × 522 ) / 1

LCM(479,522) = 250038 / 1

LCM(479,522) = 250038


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FAQs on GCF of Fractions of 237/479, 486/522

1. What is the HCF of 237,486?

The HCF of 237,486 is 3

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 237/479, 486/522?

Answer: GCF of Numerators as per given numbers 237/479, 486/522 is

GCF of Numerators i.e. for 237,486 is 3

LCM of denominators i.e. for 479,522 is 250038.

Thus, GCF of Fractions is 3/250038.Finally, GCF of Fractions for 237/479, 486/522 is 3/250038.