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GCF of 590/724, 353/908

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 590/724, 353/908 i.e 1/164348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/724, 353/908.

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 590/724,353/908?

Given fractions are 590/724,353/908

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 590/724,353/908, numerators are 590,353

Denominators are 724,908

The GCF of 590,353 is 1 .

LCM of 724,908 is 164348.

The greatest common factor of 590/724,353/908 = [GCF of 590,353]/[LCM of 724,908]= 1/164348

Therefore, the GCF of 590/724,353/908 is 1/164348.

Greatest Common Factor of 590,353

To find the highest common factor of 590,353, 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 353 are 1, 353

The HCF of 590,353 is 1.

Lets's calculate GCF of 590,353

Greatest Common Factor (GCF) of 590,353 By Common Division

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

Greatest Common Factor of 590,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,353 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 353

:

1,353

Greatest Common Factor

We found the factors 590,353 . The biggest common factor number is the GCF number.
So the greatest common factor 590,353 is 1.

Lets's calculate LCM of 724,908

Lowest Common Multiple of 724,908 using Common Division

2 724, 908
2 362, 454
181, 227

∴ So the LCM of the given numbers is 2 x 2 x 181 x 227 = 164348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164348

Therefore, the GCF of Fractions 590/724,353/908 is 1/164348

Least Common Multiple of 724,908 with GCF Formula

Least Common Multiple of 724,908 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 724,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,908) = 4

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

GCF(724,908) x common factors =4 x 1 = 4

LCM(724,908) = ( 724 × 908 ) / 4

LCM(724,908) = 657392 / 4

LCM(724,908) = 164348


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FAQs on GCF of Fractions of 590/724, 353/908

1. What is the HCF of 590,353?

The HCF of 590,353 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 590/724, 353/908?

Answer: GCF of Numerators as per given numbers 590/724, 353/908 is

GCF of Numerators i.e. for 590,353 is 1

LCM of denominators i.e. for 724,908 is 164348.

Thus, GCF of Fractions is 1/164348.Finally, GCF of Fractions for 590/724, 353/908 is 1/164348.