How to Find GCF of 809/216, 320/808?

GCF of 809/216, 320/808

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 809/216, 320/808 i.e 1/21816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 809/216, 320/808.

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 809/216,320/808?

Given fractions are 809/216,320/808

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 809/216,320/808, numerators are 809,320

Denominators are 216,808

The GCF of 809,320 is 1 .

LCM of 216,808 is 21816.

The greatest common factor of 809/216,320/808 = [GCF of 809,320]/[LCM of 216,808]= 1/21816

Therefore, the GCF of 809/216,320/808 is 1/21816.

Greatest Common Factor of 809,320

To find the highest common factor of 809,320, we have to find the factors of both numbers and list the highest common factor.

The factors of 809 are 1, 809

The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

The HCF of 809,320 is 1.

Lets's calculate GCF of 809,320

Greatest Common Factor (GCF) of 809,320 By Common Division

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

Greatest Common Factor of 809,320 By Matching Biggest Common Factor Method

Now, list down the factors of 809

1,809

Now, list down the factors of 320

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 809,320 . The biggest common factor number is the GCF number.
So the greatest common factor 809,320 is 1.

Lets's calculate LCM of 216,808

Lowest Common Multiple of 216,808 using Common Division

2	216, 808
2	108, 404
2	54, 202
	27, 101

∴ So the LCM of the given numbers is 2 x 2 x 2 x 27 x 101 = 21816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21816

Therefore, the GCF of Fractions 809/216,320/808 is 1/21816

Least Common Multiple of 216,808 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 216,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,808) = 8

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

GCF(216,808) x common factors =8 x 1 = 8

LCM(216,808) = ( 216 × 808 ) / 8

LCM(216,808) = 174528 / 8

LCM(216,808) = 21816

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FAQs on GCF of Fractions of 809/216, 320/808

1. What is the HCF of 809,320?

The HCF of 809,320 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 809/216, 320/808?

Answer: GCF of Numerators as per given numbers 809/216, 320/808 is

GCF of Numerators i.e. for 809,320 is 1

LCM of denominators i.e. for 216,808 is 21816.

Thus, GCF of Fractions is 1/21816.Finally, GCF of Fractions for 809/216, 320/808 is 1/21816.