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GCF of 483/523, 717/600

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 483/523, 717/600 i.e 3/313800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/523, 717/600.

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 483/523,717/600?

Given fractions are 483/523,717/600

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 483/523,717/600, numerators are 483,717

Denominators are 523,600

The GCF of 483,717 is 3 .

LCM of 523,600 is 313800.

The greatest common factor of 483/523,717/600 = [GCF of 483,717]/[LCM of 523,600]= 3/313800

Therefore, the GCF of 483/523,717/600 is 3/313800.

Greatest Common Factor of 483,717

To find the highest common factor of 483,717, we have to find the factors of both numbers and list the highest common factor.

The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483

The factors of 717 are 1, 3, 239, 717

The HCF of 483,717 is 3.

Lets's calculate GCF of 483,717

Greatest Common Factor (GCF) of 483,717 By Common Division

3 483, 717
161, 239

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

Greatest Common Factor of 483,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,717 By Matching Biggest Common Factor Method

Now, list down the factors of 483

:

1,3,7,21,23,69,161,483

Now, list down the factors of 717

:

1,3,239,717

Greatest Common Factor

We found the factors 483,717 . The biggest common factor number is the GCF number.
So the greatest common factor 483,717 is 3.

Lets's calculate LCM of 523,600

Lowest Common Multiple of 523,600 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 313800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/313800

Therefore, the GCF of Fractions 483/523,717/600 is 3/313800

Least Common Multiple of 523,600 with GCF Formula

Least Common Multiple of 523,600 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 523,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,600) = 1

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

GCF(523,600) x common factors =1 x 1 = 1

LCM(523,600) = ( 523 × 600 ) / 1

LCM(523,600) = 313800 / 1

LCM(523,600) = 313800


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FAQs on GCF of Fractions of 483/523, 717/600

1. What is the HCF of 483,717?

The HCF of 483,717 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 483/523, 717/600?

Answer: GCF of Numerators as per given numbers 483/523, 717/600 is

GCF of Numerators i.e. for 483,717 is 3

LCM of denominators i.e. for 523,600 is 313800.

Thus, GCF of Fractions is 3/313800.Finally, GCF of Fractions for 483/523, 717/600 is 3/313800.