GCD of 690, 744, 462, 212 Calculator

Given Input numbers are 690, 744, 462, 212

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

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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 (690, 744, 462, 212) = 2.

Given numbers are 690, 744, 462, 212

The list of prime factors of all numbers are

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

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 690, 744, 462, 212 is 2.

Given numbers are 690, 744, 462, 212

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

Apply this formula for all numbers.

Step1:

LCM(690, 744) = 85560

GCD(690, 744) = ( 690 x 744 ) / 85560

= 690 / 744

= 690

Step2:

LCM(6, 462) = 462

GCD(6, 462) = ( 6 x 462 ) / 462

= 6 / 462

= 6

Step3:

LCM(6, 212) = 636

GCD(6, 212) = ( 6 x 212 ) / 636

= 6 / 212

= 6

So, Greatest Common Divisor of 690, 744, 462, 212 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 908, 183, 768
• GCD of 317, 238, 132, 349
• GCD of 535, 879, 541, 192
• GCD of 174, 105, 349, 402
• GCD of 531, 291, 450, 506

Given numbers are 690, 744, 462, 212
The greatest common divisor of numbers 690, 744, 462, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 744, 462, 212 is 2.

1. What is the GCD of 690, 744, 462, 212?

GCD of given numbers 690, 744, 462, 212 is 2

2. How to calculate the greatest common divisor of 690, 744, 462, 212?

We can find the highest common divisor of 690, 744, 462, 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 690, 744, 462, 212 i.e 2.

3. How can I use the GCD of 690, 744, 462, 212Calculator?

Out the numbers 690, 744, 462, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.