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GCD of 894, 464, 80 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 894, 464, 80 quickly. Get the easiest ways to solve the greatest common divisor of 894, 464, 80 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 894, 464, 80 with Factoring?

Given Input numbers are 894, 464, 80

In the factoring method, we have to find the divisors of all numbers

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 80 :

The positive integer divisors of 80 that completely divides 80 are.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80


GCD of numbers is the greatest common divisor

So, the GCD (894, 464, 80) = 2.

Find GCD of 894, 464, 80 using Prime Factorization

Given numbers are 894, 464, 80

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 80 are 2 x 2 x 2 x 2 x 5

The highest common occurrence is 21

Therefore, GCD of 894, 464, 80 is 2.

Steps to Calculate GCD of 894, 464, 80 using LCM Formula

Given numbers are 894, 464, 80

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(894, 464) = 207408

GCD(894, 464) = ( 894 x 464 ) / 207408

= 894 / 464

= 894


Step2:

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

= 2 / 80

= 2


So, Greatest Common Divisor of 894, 464, 80 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 894, 464, 80

Given numbers are 894, 464, 80
The greatest common divisor of numbers 894, 464, 80 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 464, 80 is 2.

FAQs on GCD of 894, 464, 80 Calculator

1. What is the GCD of 894, 464, 80?

GCD of given numbers 894, 464, 80 is 2


2. How to calculate the greatest common divisor of 894, 464, 80?

We can find the highest common divisor of 894, 464, 80 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 894, 464, 80 i.e 2.


3. How can I use the GCD of 894, 464, 80Calculator?

Out the numbers 894, 464, 80 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.