How to Find GCF of 810/90, 555/8383?

GCF of 810/90, 555/8383

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 810/90, 555/8383 i.e 15/754470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 810/90, 555/8383.

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 810/90,555/8383?

Given fractions are 810/90,555/8383

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 810/90,555/8383, numerators are 810,555

Denominators are 90,8383

The GCF of 810,555 is 15 .

LCM of 90,8383 is 754470.

The greatest common factor of 810/90,555/8383 = [GCF of 810,555]/[LCM of 90,8383]= 15/754470

Therefore, the GCF of 810/90,555/8383 is 15/754470.

Greatest Common Factor of 810,555

To find the highest common factor of 810,555, we have to find the factors of both numbers and list the highest common factor.

The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555

The HCF of 810,555 is 15.

Lets's calculate GCF of 810,555

Greatest Common Factor (GCF) of 810,555 By Common Division

3	810, 555
5	270, 185
	54, 37

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 810,555 By Matching Biggest Common Factor Method

Now, list down the factors of 810

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Now, list down the factors of 555

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 810,555 . The biggest common factor number is the GCF number.
So the greatest common factor 810,555 is 15.

Lets's calculate LCM of 90,8383

Lowest Common Multiple of 90,8383 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 754470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/754470

Therefore, the GCF of Fractions 810/90,555/8383 is 15/754470

Least Common Multiple of 90,8383 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 90,8383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,8383) = 1

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

GCF(90,8383) x common factors =1 x 1 = 1

LCM(90,8383) = ( 90 × 8383 ) / 1

LCM(90,8383) = 754470 / 1

LCM(90,8383) = 754470

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FAQs on GCF of Fractions of 810/90, 555/8383

1. What is the HCF of 810,555?

The HCF of 810,555 is 15

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 810/90, 555/8383?

Answer: GCF of Numerators as per given numbers 810/90, 555/8383 is

GCF of Numerators i.e. for 810,555 is 15

LCM of denominators i.e. for 90,8383 is 754470.

Thus, GCF of Fractions is 15/754470.Finally, GCF of Fractions for 810/90, 555/8383 is 15/754470.