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GCF of 590/899, 616/439

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 590/899, 616/439 i.e 2/394661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/899, 616/439.

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 590/899,616/439?

Given fractions are 590/899,616/439

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 590/899,616/439, numerators are 590,616

Denominators are 899,439

The GCF of 590,616 is 2 .

LCM of 899,439 is 394661.

The greatest common factor of 590/899,616/439 = [GCF of 590,616]/[LCM of 899,439]= 2/394661

Therefore, the GCF of 590/899,616/439 is 2/394661.

Greatest Common Factor of 590,616

To find the highest common factor of 590,616, we have to find the factors of both numbers and list the highest common factor.

The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590

The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

The HCF of 590,616 is 2.

Lets's calculate GCF of 590,616

Greatest Common Factor (GCF) of 590,616 By Common Division

2 590, 616
295, 308

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 590,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,616 By Matching Biggest Common Factor Method

Now, list down the factors of 590

:

1,2,5,10,59,118,295,590

Now, list down the factors of 616

:

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 590,616 . The biggest common factor number is the GCF number.
So the greatest common factor 590,616 is 2.

Lets's calculate LCM of 899,439

Lowest Common Multiple of 899,439 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 394661

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/394661

Therefore, the GCF of Fractions 590/899,616/439 is 2/394661

Least Common Multiple of 899,439 with GCF Formula

Least Common Multiple of 899,439 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 899,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,439) = 1

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

GCF(899,439) x common factors =1 x 1 = 1

LCM(899,439) = ( 899 × 439 ) / 1

LCM(899,439) = 394661 / 1

LCM(899,439) = 394661


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FAQs on GCF of Fractions of 590/899, 616/439

1. What is the HCF of 590,616?

The HCF of 590,616 is 2

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 590/899, 616/439?

Answer: GCF of Numerators as per given numbers 590/899, 616/439 is

GCF of Numerators i.e. for 590,616 is 2

LCM of denominators i.e. for 899,439 is 394661.

Thus, GCF of Fractions is 2/394661.Finally, GCF of Fractions for 590/899, 616/439 is 2/394661.