GCD of 658, 622, 470, 216 Calculator

Given Input numbers are 658, 622, 470, 216

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

Divisors of 658 :

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

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

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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

GCD of numbers is the greatest common divisor

So, the GCD (658, 622, 470, 216) = 2.

Given numbers are 658, 622, 470, 216

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 622 are 2 x 311

Prime factors of 470 are 2 x 5 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 658, 622, 470, 216 is 2.

Given numbers are 658, 622, 470, 216

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

Apply this formula for all numbers.

Step1:

LCM(658, 622) = 204638

GCD(658, 622) = ( 658 x 622 ) / 204638

= 658 / 622

= 658

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 658, 622, 470, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 341, 508, 713
• GCD of 107, 961, 275, 200
• GCD of 209, 349, 724, 959
• GCD of 217, 151, 992, 455
• GCD of 849, 318, 446, 328

Given numbers are 658, 622, 470, 216
The greatest common divisor of numbers 658, 622, 470, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 622, 470, 216 is 2.

1. What is the GCD of 658, 622, 470, 216?

GCD of given numbers 658, 622, 470, 216 is 2

2. How to calculate the greatest common divisor of 658, 622, 470, 216?

We can find the highest common divisor of 658, 622, 470, 216 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 658, 622, 470, 216 i.e 2.

3. How can I use the GCD of 658, 622, 470, 216Calculator?

Out the numbers 658, 622, 470, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.