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GCD of 216, 838, 588, 969 Calculator

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


Online GCD Calculator is useful to find the GCD of 216, 838, 588, 969 quickly. Get the easiest ways to solve the greatest common divisor of 216, 838, 588, 969 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 216, 838, 588, 969 with Factoring?

Given Input numbers are 216, 838, 588, 969

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969


GCD of numbers is the greatest common divisor

So, the GCD (216, 838, 588, 969) = 1.

Find GCD of 216, 838, 588, 969 using Prime Factorization

Given numbers are 216, 838, 588, 969

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 838 are 2 x 419

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 969 are 3 x 17 x 19

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

Steps to Calculate GCD of 216, 838, 588, 969 using LCM Formula

Given numbers are 216, 838, 588, 969

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

Apply this formula for all numbers.

Step1:

LCM(216, 838) = 90504

GCD(216, 838) = ( 216 x 838 ) / 90504

= 216 / 838

= 216


Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2


Step3:

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

= 2 / 969

= 2


So, Greatest Common Divisor of 216, 838, 588, 969 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 216, 838, 588, 969

Given numbers are 216, 838, 588, 969
The greatest common divisor of numbers 216, 838, 588, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 838, 588, 969 is 1.

FAQs on GCD of 216, 838, 588, 969 Calculator

1. What is the GCD of 216, 838, 588, 969?

GCD of given numbers 216, 838, 588, 969 is 1


2. How to calculate the greatest common divisor of 216, 838, 588, 969?

We can find the highest common divisor of 216, 838, 588, 969 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 216, 838, 588, 969 i.e 1.


3. How can I use the GCD of 216, 838, 588, 969Calculator?

Out the numbers 216, 838, 588, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.