How to Find GCF of 16/406, 69/860, 113/367?

GCF of 16/406, 69/860, 113/367

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 16/406, 69/860, 113/367 i.e 1/64070860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/406, 69/860, 113/367.

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 16/406,69/860,113/367?

Given fractions are 16/406,69/860,113/367

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 16/406,69/860,113/367, numerators are 16,69,113

Denominators are 406,860,367

The GCF of 16,69,113 is 1 .

LCM of 406,860,367 is 64070860.

The greatest common factor of 16/406,69/860,113/367 = [GCF of 16,69,113]/[LCM of 406,860,367]= 1/64070860

Therefore, the GCF of 16/406,69/860,113/367 is 1/64070860.

Greatest Common Factor of 16,69,113

To find the highest common factor of 16,69,113, we have to find the factors of both numbers and list the highest common factor.

The factors of 16 are 1, 2, 4, 8, 16

The factors of 69 are 1, 3, 23, 69

The factors of 113 are 1, 113

The HCF of 16,69,113 is 1.

Lets's calculate GCF of 16,69,113

Greatest Common Factor (GCF) of 16,69,113 By Common Division

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

Greatest Common Factor of 16,69,113 By Matching Biggest Common Factor Method

Now, list down the factors of 16

1,2,4,8,16

Now, list down the factors of 69

1,3,23,69

Now, list down the factors of 113

1,113

Greatest Common Factor

We found the factors 16,69,113 . The biggest common factor number is the GCF number.
So the greatest common factor 16,69,113 is 1.

Lets's calculate LCM of 406,860,367

Lowest Common Multiple of 406,860,367 using Common Division

2	406, 860, 367
	203, 430, 367

∴ So the LCM of the given numbers is 2 x 203 x 430 x 367 = 64070860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64070860

Therefore, the GCF of Fractions 16/406,69/860,113/367 is 1/64070860

Least Common Multiple of 406,860,367 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 406,860,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,860,367) = 1

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

GCF(406,860,367) x common factors =1 x 2 = 2

LCM(406,860,367) = ( 406 × 860 × 367 ) / 2

LCM(406,860,367) = 128141720 / 2

LCM(406,860,367) = 64070860

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 16/406, 69/860, 113/367

1. What is the HCF of 16,69,113?

The HCF of 16,69,113 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 16/406, 69/860, 113/367?

Answer: GCF of Numerators as per given numbers 16/406, 69/860, 113/367 is

GCF of Numerators i.e. for 16,69,113 is 1

LCM of denominators i.e. for 406,860,367 is 64070860.

Thus, GCF of Fractions is 1/64070860.Finally, GCF of Fractions for 16/406, 69/860, 113/367 is 1/64070860.