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GCF of 589/43, 227/406

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 589/43, 227/406 i.e 1/17458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 589/43, 227/406.

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 589/43,227/406?

Given fractions are 589/43,227/406

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 589/43,227/406, numerators are 589,227

Denominators are 43,406

The GCF of 589,227 is 1 .

LCM of 43,406 is 17458.

The greatest common factor of 589/43,227/406 = [GCF of 589,227]/[LCM of 43,406]= 1/17458

Therefore, the GCF of 589/43,227/406 is 1/17458.

Greatest Common Factor of 589,227

To find the highest common factor of 589,227, we have to find the factors of both numbers and list the highest common factor.

The factors of 589 are 1, 19, 31, 589

The factors of 227 are 1, 227

The HCF of 589,227 is 1.

Lets's calculate GCF of 589,227

Greatest Common Factor (GCF) of 589,227 By Common Division

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

Greatest Common Factor of 589,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,227 By Matching Biggest Common Factor Method

Now, list down the factors of 589

:

1,19,31,589

Now, list down the factors of 227

:

1,227

Greatest Common Factor

We found the factors 589,227 . The biggest common factor number is the GCF number.
So the greatest common factor 589,227 is 1.

Lets's calculate LCM of 43,406

Lowest Common Multiple of 43,406 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17458

Therefore, the GCF of Fractions 589/43,227/406 is 1/17458

Least Common Multiple of 43,406 with GCF Formula

Least Common Multiple of 43,406 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 43,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,406) = 1

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

GCF(43,406) x common factors =1 x 1 = 1

LCM(43,406) = ( 43 × 406 ) / 1

LCM(43,406) = 17458 / 1

LCM(43,406) = 17458


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FAQs on GCF of Fractions of 589/43, 227/406

1. What is the HCF of 589,227?

The HCF of 589,227 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 589/43, 227/406?

Answer: GCF of Numerators as per given numbers 589/43, 227/406 is

GCF of Numerators i.e. for 589,227 is 1

LCM of denominators i.e. for 43,406 is 17458.

Thus, GCF of Fractions is 1/17458.Finally, GCF of Fractions for 589/43, 227/406 is 1/17458.