How to Find GCF of 21/86, 151/57, 215/592?

GCF of 21/86, 151/57, 215/592

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 21/86, 151/57, 215/592 i.e 1/1450992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/86, 151/57, 215/592.

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 21/86,151/57,215/592?

Given fractions are 21/86,151/57,215/592

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 21/86,151/57,215/592, numerators are 21,151,215

Denominators are 86,57,592

The GCF of 21,151,215 is 1 .

LCM of 86,57,592 is 1450992.

The greatest common factor of 21/86,151/57,215/592 = [GCF of 21,151,215]/[LCM of 86,57,592]= 1/1450992

Therefore, the GCF of 21/86,151/57,215/592 is 1/1450992.

Greatest Common Factor of 21,151,215

To find the highest common factor of 21,151,215, we have to find the factors of both numbers and list the highest common factor.

The factors of 21 are 1, 3, 7, 21

The factors of 151 are 1, 151

The factors of 215 are 1, 5, 43, 215

The HCF of 21,151,215 is 1.

Lets's calculate GCF of 21,151,215

Greatest Common Factor (GCF) of 21,151,215 By Common Division

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

Greatest Common Factor of 21,151,215 By Matching Biggest Common Factor Method

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 151

1,151

Now, list down the factors of 215

1,5,43,215

Greatest Common Factor

We found the factors 21,151,215 . The biggest common factor number is the GCF number.
So the greatest common factor 21,151,215 is 1.

Lets's calculate LCM of 86,57,592

Lowest Common Multiple of 86,57,592 using Common Division

2	86, 57, 592
	43, 57, 296

∴ So the LCM of the given numbers is 2 x 43 x 57 x 296 = 1450992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1450992

Therefore, the GCF of Fractions 21/86,151/57,215/592 is 1/1450992

Least Common Multiple of 86,57,592 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 86,57,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,57,592) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,57,592) x common factors =1 x 2 = 2

LCM(86,57,592) = ( 86 × 57 × 592 ) / 2

LCM(86,57,592) = 2901984 / 2

LCM(86,57,592) = 1450992

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FAQs on GCF of Fractions of 21/86, 151/57, 215/592

1. What is the HCF of 21,151,215?

The HCF of 21,151,215 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 21/86, 151/57, 215/592?

Answer: GCF of Numerators as per given numbers 21/86, 151/57, 215/592 is

GCF of Numerators i.e. for 21,151,215 is 1

LCM of denominators i.e. for 86,57,592 is 1450992.

Thus, GCF of Fractions is 1/1450992.Finally, GCF of Fractions for 21/86, 151/57, 215/592 is 1/1450992.