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GCF of 590/382, 9335/2731

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 590/382, 9335/2731 i.e 5/1043242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/382, 9335/2731.

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 590/382,9335/2731?

Given fractions are 590/382,9335/2731

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 590/382,9335/2731, numerators are 590,9335

Denominators are 382,2731

The GCF of 590,9335 is 5 .

LCM of 382,2731 is 1043242.

The greatest common factor of 590/382,9335/2731 = [GCF of 590,9335]/[LCM of 382,2731]= 5/1043242

Therefore, the GCF of 590/382,9335/2731 is 5/1043242.

Greatest Common Factor of 590,9335

To find the highest common factor of 590,9335, 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 9335 are 1, 5, 1867, 9335

The HCF of 590,9335 is 5.

Lets's calculate GCF of 590,9335

Greatest Common Factor (GCF) of 590,9335 By Common Division

5 590, 9335
118, 1867

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 590,9335 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,9335 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 9335

:

1,5,1867,9335

Greatest Common Factor

We found the factors 590,9335 . The biggest common factor number is the GCF number.
So the greatest common factor 590,9335 is 5.

Lets's calculate LCM of 382,2731

Lowest Common Multiple of 382,2731 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1043242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1043242

Therefore, the GCF of Fractions 590/382,9335/2731 is 5/1043242

Least Common Multiple of 382,2731 with GCF Formula

Least Common Multiple of 382,2731 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 382,2731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,2731) = 1

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

GCF(382,2731) x common factors =1 x 1 = 1

LCM(382,2731) = ( 382 × 2731 ) / 1

LCM(382,2731) = 1043242 / 1

LCM(382,2731) = 1043242


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FAQs on GCF of Fractions of 590/382, 9335/2731

1. What is the HCF of 590,9335?

The HCF of 590,9335 is 5

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 590/382, 9335/2731?

Answer: GCF of Numerators as per given numbers 590/382, 9335/2731 is

GCF of Numerators i.e. for 590,9335 is 5

LCM of denominators i.e. for 382,2731 is 1043242.

Thus, GCF of Fractions is 5/1043242.Finally, GCF of Fractions for 590/382, 9335/2731 is 5/1043242.