How to Find GCF of 28/33, 89/72, 563/814?

GCF of 28/33, 89/72, 563/814

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 28/33, 89/72, 563/814 i.e 1/29304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/33, 89/72, 563/814.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 28/33,89/72,563/814?

Given fractions are 28/33,89/72,563/814

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 28/33,89/72,563/814, numerators are 28,89,563

Denominators are 33,72,814

The GCF of 28,89,563 is 1 .

LCM of 33,72,814 is 29304.

The greatest common factor of 28/33,89/72,563/814 = [GCF of 28,89,563]/[LCM of 33,72,814]= 1/29304

Therefore, the GCF of 28/33,89/72,563/814 is 1/29304.

Greatest Common Factor of 28,89,563

To find the highest common factor of 28,89,563, we have to find the factors of both numbers and list the highest common factor.

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 89 are 1, 89

The factors of 563 are 1, 563

The HCF of 28,89,563 is 1.

Lets's calculate GCF of 28,89,563

Greatest Common Factor (GCF) of 28,89,563 By Common Division

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

Greatest Common Factor of 28,89,563 By Matching Biggest Common Factor Method

Now, list down the factors of 28

1,2,4,7,14,28

Now, list down the factors of 89

1,89

Now, list down the factors of 563

1,563

Greatest Common Factor

We found the factors 28,89,563 . The biggest common factor number is the GCF number.
So the greatest common factor 28,89,563 is 1.

Lets's calculate LCM of 33,72,814

Lowest Common Multiple of 33,72,814 using Common Division

2	33, 72, 814
3	33, 36, 407
11	11, 12, 407
	1, 12, 37

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 12 x 37 = 29304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29304

Therefore, the GCF of Fractions 28/33,89/72,563/814 is 1/29304

Least Common Multiple of 33,72,814 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 33,72,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,72,814) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(33,72,814) x common factors =1 x 66 = 66

LCM(33,72,814) = ( 33 × 72 × 814 ) / 66

LCM(33,72,814) = 1934064 / 66

LCM(33,72,814) = 29304

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FAQs on GCF of Fractions of 28/33, 89/72, 563/814

1. What is the HCF of 28,89,563?

The HCF of 28,89,563 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 28/33, 89/72, 563/814?

Answer: GCF of Numerators as per given numbers 28/33, 89/72, 563/814 is

GCF of Numerators i.e. for 28,89,563 is 1

LCM of denominators i.e. for 33,72,814 is 29304.

Thus, GCF of Fractions is 1/29304.Finally, GCF of Fractions for 28/33, 89/72, 563/814 is 1/29304.