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GCF of 593/572, 582/204

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 593/572, 582/204 i.e 1/29172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 593/572, 582/204.

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 593/572,582/204?

Given fractions are 593/572,582/204

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 593/572,582/204, numerators are 593,582

Denominators are 572,204

The GCF of 593,582 is 1 .

LCM of 572,204 is 29172.

The greatest common factor of 593/572,582/204 = [GCF of 593,582]/[LCM of 572,204]= 1/29172

Therefore, the GCF of 593/572,582/204 is 1/29172.

Greatest Common Factor of 593,582

To find the highest common factor of 593,582, we have to find the factors of both numbers and list the highest common factor.

The factors of 593 are 1, 593

The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582

The HCF of 593,582 is 1.

Lets's calculate GCF of 593,582

Greatest Common Factor (GCF) of 593,582 By Common Division

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

Greatest Common Factor of 593,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,582 By Matching Biggest Common Factor Method

Now, list down the factors of 593

:

1,593

Now, list down the factors of 582

:

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 593,582 . The biggest common factor number is the GCF number.
So the greatest common factor 593,582 is 1.

Lets's calculate LCM of 572,204

Lowest Common Multiple of 572,204 using Common Division

2 572, 204
2 286, 102
143, 51

∴ So the LCM of the given numbers is 2 x 2 x 143 x 51 = 29172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29172

Therefore, the GCF of Fractions 593/572,582/204 is 1/29172

Least Common Multiple of 572,204 with GCF Formula

Least Common Multiple of 572,204 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 572,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,204) = 4

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

GCF(572,204) x common factors =4 x 1 = 4

LCM(572,204) = ( 572 × 204 ) / 4

LCM(572,204) = 116688 / 4

LCM(572,204) = 29172


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FAQs on GCF of Fractions of 593/572, 582/204

1. What is the HCF of 593,582?

The HCF of 593,582 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 593/572, 582/204?

Answer: GCF of Numerators as per given numbers 593/572, 582/204 is

GCF of Numerators i.e. for 593,582 is 1

LCM of denominators i.e. for 572,204 is 29172.

Thus, GCF of Fractions is 1/29172.Finally, GCF of Fractions for 593/572, 582/204 is 1/29172.