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GCF of 574/479, 273/616

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 574/479, 273/616 i.e 7/295064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/479, 273/616.

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 574/479,273/616?

Given fractions are 574/479,273/616

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 574/479,273/616, numerators are 574,273

Denominators are 479,616

The GCF of 574,273 is 7 .

LCM of 479,616 is 295064.

The greatest common factor of 574/479,273/616 = [GCF of 574,273]/[LCM of 479,616]= 7/295064

Therefore, the GCF of 574/479,273/616 is 7/295064.

Greatest Common Factor of 574,273

To find the highest common factor of 574,273, we have to find the factors of both numbers and list the highest common factor.

The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574

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

The HCF of 574,273 is 7.

Lets's calculate GCF of 574,273

Greatest Common Factor (GCF) of 574,273 By Common Division

7 574, 273
82, 39

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 574,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,273 By Matching Biggest Common Factor Method

Now, list down the factors of 574

:

1,2,7,14,41,82,287,574

Now, list down the factors of 273

:

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

Greatest Common Factor

We found the factors 574,273 . The biggest common factor number is the GCF number.
So the greatest common factor 574,273 is 7.

Lets's calculate LCM of 479,616

Lowest Common Multiple of 479,616 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 295064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/295064

Therefore, the GCF of Fractions 574/479,273/616 is 7/295064

Least Common Multiple of 479,616 with GCF Formula

Least Common Multiple of 479,616 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 479,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,616) = 1

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

GCF(479,616) x common factors =1 x 1 = 1

LCM(479,616) = ( 479 × 616 ) / 1

LCM(479,616) = 295064 / 1

LCM(479,616) = 295064


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FAQs on GCF of Fractions of 574/479, 273/616

1. What is the HCF of 574,273?

The HCF of 574,273 is 7

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 574/479, 273/616?

Answer: GCF of Numerators as per given numbers 574/479, 273/616 is

GCF of Numerators i.e. for 574,273 is 7

LCM of denominators i.e. for 479,616 is 295064.

Thus, GCF of Fractions is 7/295064.Finally, GCF of Fractions for 574/479, 273/616 is 7/295064.