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GCF of 339/90, 590/628

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 339/90, 590/628 i.e 1/28260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/90, 590/628.

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 339/90,590/628?

Given fractions are 339/90,590/628

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 339/90,590/628, numerators are 339,590

Denominators are 90,628

The GCF of 339,590 is 1 .

LCM of 90,628 is 28260.

The greatest common factor of 339/90,590/628 = [GCF of 339,590]/[LCM of 90,628]= 1/28260

Therefore, the GCF of 339/90,590/628 is 1/28260.

Greatest Common Factor of 339,590

To find the highest common factor of 339,590, we have to find the factors of both numbers and list the highest common factor.

The factors of 339 are 1, 3, 113, 339

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

The HCF of 339,590 is 1.

Lets's calculate GCF of 339,590

Greatest Common Factor (GCF) of 339,590 By Common Division

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

Greatest Common Factor of 339,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,590 By Matching Biggest Common Factor Method

Now, list down the factors of 339

:

1,3,113,339

Now, list down the factors of 590

:

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

Greatest Common Factor

We found the factors 339,590 . The biggest common factor number is the GCF number.
So the greatest common factor 339,590 is 1.

Lets's calculate LCM of 90,628

Lowest Common Multiple of 90,628 using Common Division

2 90, 628
45, 314

∴ So the LCM of the given numbers is 2 x 45 x 314 = 28260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28260

Therefore, the GCF of Fractions 339/90,590/628 is 1/28260

Least Common Multiple of 90,628 with GCF Formula

Least Common Multiple of 90,628 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 90,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,628) = 2

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

GCF(90,628) x common factors =2 x 1 = 2

LCM(90,628) = ( 90 × 628 ) / 2

LCM(90,628) = 56520 / 2

LCM(90,628) = 28260


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FAQs on GCF of Fractions of 339/90, 590/628

1. What is the HCF of 339,590?

The HCF of 339,590 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 339/90, 590/628?

Answer: GCF of Numerators as per given numbers 339/90, 590/628 is

GCF of Numerators i.e. for 339,590 is 1

LCM of denominators i.e. for 90,628 is 28260.

Thus, GCF of Fractions is 1/28260.Finally, GCF of Fractions for 339/90, 590/628 is 1/28260.