How to Find GCF of 54/80, 12/28, 681/789?

GCF of 54/80, 12/28, 681/789

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 54/80, 12/28, 681/789 i.e 3/441840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/80, 12/28, 681/789.

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 54/80,12/28,681/789?

Given fractions are 54/80,12/28,681/789

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 54/80,12/28,681/789, numerators are 54,12,681

Denominators are 80,28,789

The GCF of 54,12,681 is 3 .

LCM of 80,28,789 is 441840.

The greatest common factor of 54/80,12/28,681/789 = [GCF of 54,12,681]/[LCM of 80,28,789]= 3/441840

Therefore, the GCF of 54/80,12/28,681/789 is 3/441840.

Greatest Common Factor of 54,12,681

To find the highest common factor of 54,12,681, we have to find the factors of both numbers and list the highest common factor.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 12 are 1, 2, 3, 4, 6, 12

The factors of 681 are 1, 3, 227, 681

The HCF of 54,12,681 is 3.

Lets's calculate GCF of 54,12,681

Greatest Common Factor (GCF) of 54,12,681 By Common Division

3	54, 12, 681
	18, 4, 227

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 54,12,681 By Matching Biggest Common Factor Method

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 12

1,2,3,4,6,12

Now, list down the factors of 681

1,3,227,681

Greatest Common Factor

We found the factors 54,12,681 . The biggest common factor number is the GCF number.
So the greatest common factor 54,12,681 is 3.

Lets's calculate LCM of 80,28,789

Lowest Common Multiple of 80,28,789 using Common Division

2	80, 28, 789
2	40, 14, 789
	20, 7, 789

∴ So the LCM of the given numbers is 2 x 2 x 20 x 7 x 789 = 441840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/441840

Therefore, the GCF of Fractions 54/80,12/28,681/789 is 3/441840

Least Common Multiple of 80,28,789 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 80,28,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,28,789) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(80,28,789) x common factors =1 x 4 = 4

LCM(80,28,789) = ( 80 × 28 × 789 ) / 4

LCM(80,28,789) = 1767360 / 4

LCM(80,28,789) = 441840

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 54/80, 12/28, 681/789

1. What is the HCF of 54,12,681?

The HCF of 54,12,681 is 3

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 54/80, 12/28, 681/789?

Answer: GCF of Numerators as per given numbers 54/80, 12/28, 681/789 is

GCF of Numerators i.e. for 54,12,681 is 3

LCM of denominators i.e. for 80,28,789 is 441840.

Thus, GCF of Fractions is 3/441840.Finally, GCF of Fractions for 54/80, 12/28, 681/789 is 3/441840.