How to Find GCF of 28/61, 16/87, 20/675?

GCF of 28/61, 16/87, 20/675

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 28/61, 16/87, 20/675 i.e 4/1194075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/61, 16/87, 20/675.

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 28/61,16/87,20/675?

Given fractions are 28/61,16/87,20/675

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 28/61,16/87,20/675, numerators are 28,16,20

Denominators are 61,87,675

The GCF of 28,16,20 is 4 .

LCM of 61,87,675 is 1194075.

The greatest common factor of 28/61,16/87,20/675 = [GCF of 28,16,20]/[LCM of 61,87,675]= 4/1194075

Therefore, the GCF of 28/61,16/87,20/675 is 4/1194075.

Greatest Common Factor of 28,16,20

To find the highest common factor of 28,16,20, 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 16 are 1, 2, 4, 8, 16

The factors of 20 are 1, 2, 4, 5, 10, 20

The HCF of 28,16,20 is 4.

Lets's calculate GCF of 28,16,20

Greatest Common Factor (GCF) of 28,16,20 By Common Division

2	28, 16, 20
2	14, 8, 10
	7, 4, 5

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 28,16,20 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 16

1,2,4,8,16

Now, list down the factors of 20

1,2,4,5,10,20

Greatest Common Factor

We found the factors 28,16,20 . The biggest common factor number is the GCF number.
So the greatest common factor 28,16,20 is 4.

Lets's calculate LCM of 61,87,675

Lowest Common Multiple of 61,87,675 using Common Division

3	61, 87, 675
	61, 29, 225

∴ So the LCM of the given numbers is 3 x 61 x 29 x 225 = 1194075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1194075

Therefore, the GCF of Fractions 28/61,16/87,20/675 is 4/1194075

Least Common Multiple of 61,87,675 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 61,87,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,87,675) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(61,87,675) x common factors =1 x 3 = 3

LCM(61,87,675) = ( 61 × 87 × 675 ) / 3

LCM(61,87,675) = 3582225 / 3

LCM(61,87,675) = 1194075

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 28/61, 16/87, 20/675

1. What is the HCF of 28,16,20?

The HCF of 28,16,20 is 4

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 28/61, 16/87, 20/675?

Answer: GCF of Numerators as per given numbers 28/61, 16/87, 20/675 is

GCF of Numerators i.e. for 28,16,20 is 4

LCM of denominators i.e. for 61,87,675 is 1194075.

Thus, GCF of Fractions is 4/1194075.Finally, GCF of Fractions for 28/61, 16/87, 20/675 is 4/1194075.