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GCD of 864, 269, 961, 212 Calculator

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


Online GCD Calculator is useful to find the GCD of 864, 269, 961, 212 quickly. Get the easiest ways to solve the greatest common divisor of 864, 269, 961, 212 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 864, 269, 961, 212 with Factoring?

Given Input numbers are 864, 269, 961, 212

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212


GCD of numbers is the greatest common divisor

So, the GCD (864, 269, 961, 212) = 1.

Find GCD of 864, 269, 961, 212 using Prime Factorization

Given numbers are 864, 269, 961, 212

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 269 are 269

Prime factors of 961 are 31 x 31

Prime factors of 212 are 2 x 2 x 53

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 864, 269, 961, 212 using LCM Formula

Given numbers are 864, 269, 961, 212

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

Apply this formula for all numbers.

Step1:

LCM(864, 269) = 232416

GCD(864, 269) = ( 864 x 269 ) / 232416

= 864 / 269

= 864


Step2:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1


Step3:

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

= 1 / 212

= 1


So, Greatest Common Divisor of 864, 269, 961, 212 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 864, 269, 961, 212

Given numbers are 864, 269, 961, 212
The greatest common divisor of numbers 864, 269, 961, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 269, 961, 212 is 1.

FAQs on GCD of 864, 269, 961, 212 Calculator

1. What is the GCD of 864, 269, 961, 212?

GCD of given numbers 864, 269, 961, 212 is 1


2. How to calculate the greatest common divisor of 864, 269, 961, 212?

We can find the highest common divisor of 864, 269, 961, 212 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 864, 269, 961, 212 i.e 1.


3. How can I use the GCD of 864, 269, 961, 212Calculator?

Out the numbers 864, 269, 961, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.