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GCD of 189, 658, 216, 697 Calculator

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


Online GCD Calculator is useful to find the GCD of 189, 658, 216, 697 quickly. Get the easiest ways to solve the greatest common divisor of 189, 658, 216, 697 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 189, 658, 216, 697 with Factoring?

Given Input numbers are 189, 658, 216, 697

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

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 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697


GCD of numbers is the greatest common divisor

So, the GCD (189, 658, 216, 697) = 1.

Find GCD of 189, 658, 216, 697 using Prime Factorization

Given numbers are 189, 658, 216, 697

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 658 are 2 x 7 x 47

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

Prime factors of 697 are 17 x 41

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

Steps to Calculate GCD of 189, 658, 216, 697 using LCM Formula

Given numbers are 189, 658, 216, 697

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

Apply this formula for all numbers.

Step1:

LCM(189, 658) = 17766

GCD(189, 658) = ( 189 x 658 ) / 17766

= 189 / 658

= 189


Step2:

LCM(7, 216) = 1512

GCD(7, 216) = ( 7 x 216 ) / 1512

= 7 / 216

= 7


Step3:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1


So, Greatest Common Divisor of 189, 658, 216, 697 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 189, 658, 216, 697

Given numbers are 189, 658, 216, 697
The greatest common divisor of numbers 189, 658, 216, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 658, 216, 697 is 1.

FAQs on GCD of 189, 658, 216, 697 Calculator

1. What is the GCD of 189, 658, 216, 697?

GCD of given numbers 189, 658, 216, 697 is 1


2. How to calculate the greatest common divisor of 189, 658, 216, 697?

We can find the highest common divisor of 189, 658, 216, 697 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 189, 658, 216, 697 i.e 1.


3. How can I use the GCD of 189, 658, 216, 697Calculator?

Out the numbers 189, 658, 216, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.