How to Find GCF of 13/231, 62/236, 442/111?

GCF of 13/231, 62/236, 442/111

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 13/231, 62/236, 442/111 i.e 1/2017092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/231, 62/236, 442/111.

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 13/231,62/236,442/111?

Given fractions are 13/231,62/236,442/111

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 13/231,62/236,442/111, numerators are 13,62,442

Denominators are 231,236,111

The GCF of 13,62,442 is 1 .

LCM of 231,236,111 is 2017092.

The greatest common factor of 13/231,62/236,442/111 = [GCF of 13,62,442]/[LCM of 231,236,111]= 1/2017092

Therefore, the GCF of 13/231,62/236,442/111 is 1/2017092.

Greatest Common Factor of 13,62,442

To find the highest common factor of 13,62,442, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 62 are 1, 2, 31, 62

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The HCF of 13,62,442 is 1.

Lets's calculate GCF of 13,62,442

Greatest Common Factor (GCF) of 13,62,442 By Common Division

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

Greatest Common Factor of 13,62,442 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 62

1,2,31,62

Now, list down the factors of 442

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 13,62,442 . The biggest common factor number is the GCF number.
So the greatest common factor 13,62,442 is 1.

Lets's calculate LCM of 231,236,111

Lowest Common Multiple of 231,236,111 using Common Division

3	231, 236, 111
	77, 236, 37

∴ So the LCM of the given numbers is 3 x 77 x 236 x 37 = 2017092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2017092

Therefore, the GCF of Fractions 13/231,62/236,442/111 is 1/2017092

Least Common Multiple of 231,236,111 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 231,236,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,236,111) = 1

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

GCF(231,236,111) x common factors =1 x 3 = 3

LCM(231,236,111) = ( 231 × 236 × 111 ) / 3

LCM(231,236,111) = 6051276 / 3

LCM(231,236,111) = 2017092

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 13/231, 62/236, 442/111

1. What is the HCF of 13,62,442?

The HCF of 13,62,442 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 13/231, 62/236, 442/111?

Answer: GCF of Numerators as per given numbers 13/231, 62/236, 442/111 is

GCF of Numerators i.e. for 13,62,442 is 1

LCM of denominators i.e. for 231,236,111 is 2017092.

Thus, GCF of Fractions is 1/2017092.Finally, GCF of Fractions for 13/231, 62/236, 442/111 is 1/2017092.