How to Find GCF of 28/20, 971/27, 198/869?

GCF of 28/20, 971/27, 198/869

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 28/20, 971/27, 198/869 i.e 1/469260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/20, 971/27, 198/869.

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 28/20,971/27,198/869?

Given fractions are 28/20,971/27,198/869

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 28/20,971/27,198/869, numerators are 28,971,198

Denominators are 20,27,869

The GCF of 28,971,198 is 1 .

LCM of 20,27,869 is 469260.

The greatest common factor of 28/20,971/27,198/869 = [GCF of 28,971,198]/[LCM of 20,27,869]= 1/469260

Therefore, the GCF of 28/20,971/27,198/869 is 1/469260.

Greatest Common Factor of 28,971,198

To find the highest common factor of 28,971,198, 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 971 are 1, 971

The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

The HCF of 28,971,198 is 1.

Lets's calculate GCF of 28,971,198

Greatest Common Factor (GCF) of 28,971,198 By Common Division

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

Greatest Common Factor of 28,971,198 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 971

1,971

Now, list down the factors of 198

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 28,971,198 . The biggest common factor number is the GCF number.
So the greatest common factor 28,971,198 is 1.

Lets's calculate LCM of 20,27,869

Lowest Common Multiple of 20,27,869 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 469260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/469260

Therefore, the GCF of Fractions 28/20,971/27,198/869 is 1/469260

Least Common Multiple of 20,27,869 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 20,27,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,27,869) = 1

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

GCF(20,27,869) x common factors =1 x 1 = 1

LCM(20,27,869) = ( 20 × 27 × 869 ) / 1

LCM(20,27,869) = 469260 / 1

LCM(20,27,869) = 469260

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 28/20, 971/27, 198/869

1. What is the HCF of 28,971,198?

The HCF of 28,971,198 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 28/20, 971/27, 198/869?

Answer: GCF of Numerators as per given numbers 28/20, 971/27, 198/869 is

GCF of Numerators i.e. for 28,971,198 is 1

LCM of denominators i.e. for 20,27,869 is 469260.

Thus, GCF of Fractions is 1/469260.Finally, GCF of Fractions for 28/20, 971/27, 198/869 is 1/469260.