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GCF of 587/45, 406/3217

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 587/45, 406/3217 i.e 1/144765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 587/45, 406/3217.

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 587/45,406/3217?

Given fractions are 587/45,406/3217

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 587/45,406/3217, numerators are 587,406

Denominators are 45,3217

The GCF of 587,406 is 1 .

LCM of 45,3217 is 144765.

The greatest common factor of 587/45,406/3217 = [GCF of 587,406]/[LCM of 45,3217]= 1/144765

Therefore, the GCF of 587/45,406/3217 is 1/144765.

Greatest Common Factor of 587,406

To find the highest common factor of 587,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 587 are 1, 587

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 587,406 is 1.

Lets's calculate GCF of 587,406

Greatest Common Factor (GCF) of 587,406 By Common Division

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

Greatest Common Factor of 587,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 587,406 By Matching Biggest Common Factor Method

Now, list down the factors of 587

:

1,587

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 587,406 . The biggest common factor number is the GCF number.
So the greatest common factor 587,406 is 1.

Lets's calculate LCM of 45,3217

Lowest Common Multiple of 45,3217 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 144765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144765

Therefore, the GCF of Fractions 587/45,406/3217 is 1/144765

Least Common Multiple of 45,3217 with GCF Formula

Least Common Multiple of 45,3217 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 45,3217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,3217) = 1

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

GCF(45,3217) x common factors =1 x 1 = 1

LCM(45,3217) = ( 45 × 3217 ) / 1

LCM(45,3217) = 144765 / 1

LCM(45,3217) = 144765


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FAQs on GCF of Fractions of 587/45, 406/3217

1. What is the HCF of 587,406?

The HCF of 587,406 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 587/45, 406/3217?

Answer: GCF of Numerators as per given numbers 587/45, 406/3217 is

GCF of Numerators i.e. for 587,406 is 1

LCM of denominators i.e. for 45,3217 is 144765.

Thus, GCF of Fractions is 1/144765.Finally, GCF of Fractions for 587/45, 406/3217 is 1/144765.