GCD of 216, 590, 690, 650 Calculator

Given Input numbers are 216, 590, 690, 650

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 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

GCD of numbers is the greatest common divisor

So, the GCD (216, 590, 690, 650) = 2.

Given numbers are 216, 590, 690, 650

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 590 are 2 x 5 x 59

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 650 are 2 x 5 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 216, 590, 690, 650 is 2.

Given numbers are 216, 590, 690, 650

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

Apply this formula for all numbers.

Step1:

LCM(216, 590) = 63720

GCD(216, 590) = ( 216 x 590 ) / 63720

= 216 / 590

= 216

Step2:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

Step3:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2

So, Greatest Common Divisor of 216, 590, 690, 650 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 100, 491, 152
• GCD of 273, 393, 539, 622
• GCD of 703, 249, 503, 349
• GCD of 346, 115, 446, 265
• GCD of 985, 229, 905, 664

Given numbers are 216, 590, 690, 650
The greatest common divisor of numbers 216, 590, 690, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 590, 690, 650 is 2.

1. What is the GCD of 216, 590, 690, 650?

GCD of given numbers 216, 590, 690, 650 is 2

2. How to calculate the greatest common divisor of 216, 590, 690, 650?

We can find the highest common divisor of 216, 590, 690, 650 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, 590, 690, 650 i.e 2.

3. How can I use the GCD of 216, 590, 690, 650Calculator?

Out the numbers 216, 590, 690, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.