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GCF of 568/68, 543/1728

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 568/68, 543/1728 i.e 1/29376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 568/68, 543/1728.

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 568/68,543/1728?

Given fractions are 568/68,543/1728

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 568/68,543/1728, numerators are 568,543

Denominators are 68,1728

The GCF of 568,543 is 1 .

LCM of 68,1728 is 29376.

The greatest common factor of 568/68,543/1728 = [GCF of 568,543]/[LCM of 68,1728]= 1/29376

Therefore, the GCF of 568/68,543/1728 is 1/29376.

Greatest Common Factor of 568,543

To find the highest common factor of 568,543, we have to find the factors of both numbers and list the highest common factor.

The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568

The factors of 543 are 1, 3, 181, 543

The HCF of 568,543 is 1.

Lets's calculate GCF of 568,543

Greatest Common Factor (GCF) of 568,543 By Common Division

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

Greatest Common Factor of 568,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,543 By Matching Biggest Common Factor Method

Now, list down the factors of 568

:

1,2,4,8,71,142,284,568

Now, list down the factors of 543

:

1,3,181,543

Greatest Common Factor

We found the factors 568,543 . The biggest common factor number is the GCF number.
So the greatest common factor 568,543 is 1.

Lets's calculate LCM of 68,1728

Lowest Common Multiple of 68,1728 using Common Division

2 68, 1728
2 34, 864
17, 432

∴ So the LCM of the given numbers is 2 x 2 x 17 x 432 = 29376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29376

Therefore, the GCF of Fractions 568/68,543/1728 is 1/29376

Least Common Multiple of 68,1728 with GCF Formula

Least Common Multiple of 68,1728 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 68,1728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,1728) = 4

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

GCF(68,1728) x common factors =4 x 1 = 4

LCM(68,1728) = ( 68 × 1728 ) / 4

LCM(68,1728) = 117504 / 4

LCM(68,1728) = 29376


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FAQs on GCF of Fractions of 568/68, 543/1728

1. What is the HCF of 568,543?

The HCF of 568,543 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 568/68, 543/1728?

Answer: GCF of Numerators as per given numbers 568/68, 543/1728 is

GCF of Numerators i.e. for 568,543 is 1

LCM of denominators i.e. for 68,1728 is 29376.

Thus, GCF of Fractions is 1/29376.Finally, GCF of Fractions for 568/68, 543/1728 is 1/29376.