How to Find GCF of 18/86, 75/11, 998/814?

GCF of 18/86, 75/11, 998/814

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 18/86, 75/11, 998/814 i.e 1/35002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/86, 75/11, 998/814.

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 18/86,75/11,998/814?

Given fractions are 18/86,75/11,998/814

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 18/86,75/11,998/814, numerators are 18,75,998

Denominators are 86,11,814

The GCF of 18,75,998 is 1 .

LCM of 86,11,814 is 35002.

The greatest common factor of 18/86,75/11,998/814 = [GCF of 18,75,998]/[LCM of 86,11,814]= 1/35002

Therefore, the GCF of 18/86,75/11,998/814 is 1/35002.

Greatest Common Factor of 18,75,998

To find the highest common factor of 18,75,998, we have to find the factors of both numbers and list the highest common factor.

The factors of 18 are 1, 2, 3, 6, 9, 18

The factors of 75 are 1, 3, 5, 15, 25, 75

The factors of 998 are 1, 2, 499, 998

The HCF of 18,75,998 is 1.

Lets's calculate GCF of 18,75,998

Greatest Common Factor (GCF) of 18,75,998 By Common Division

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

Greatest Common Factor of 18,75,998 By Matching Biggest Common Factor Method

Now, list down the factors of 18

1,2,3,6,9,18

Now, list down the factors of 75

1,3,5,15,25,75

Now, list down the factors of 998

1,2,499,998

Greatest Common Factor

We found the factors 18,75,998 . The biggest common factor number is the GCF number.
So the greatest common factor 18,75,998 is 1.

Lets's calculate LCM of 86,11,814

Lowest Common Multiple of 86,11,814 using Common Division

2	86, 11, 814
11	43, 11, 407
	43, 1, 37

∴ So the LCM of the given numbers is 2 x 11 x 43 x 1 x 37 = 35002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35002

Therefore, the GCF of Fractions 18/86,75/11,998/814 is 1/35002

Least Common Multiple of 86,11,814 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 86,11,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,11,814) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(86,11,814) x common factors =1 x 22 = 22

LCM(86,11,814) = ( 86 × 11 × 814 ) / 22

LCM(86,11,814) = 770044 / 22

LCM(86,11,814) = 35002

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 18/86, 75/11, 998/814

1. What is the HCF of 18,75,998?

The HCF of 18,75,998 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 18/86, 75/11, 998/814?

Answer: GCF of Numerators as per given numbers 18/86, 75/11, 998/814 is

GCF of Numerators i.e. for 18,75,998 is 1

LCM of denominators i.e. for 86,11,814 is 35002.

Thus, GCF of Fractions is 1/35002.Finally, GCF of Fractions for 18/86, 75/11, 998/814 is 1/35002.