GCD of 730, 742, 216, 462 Calculator

Given Input numbers are 730, 742, 216, 462

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 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

GCD of numbers is the greatest common divisor

So, the GCD (730, 742, 216, 462) = 2.

Given numbers are 730, 742, 216, 462

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 742 are 2 x 7 x 53

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

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

The highest common occurrence is 2¹

Therefore, GCD of 730, 742, 216, 462 is 2.

Given numbers are 730, 742, 216, 462

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

Apply this formula for all numbers.

Step1:

LCM(730, 742) = 270830

GCD(730, 742) = ( 730 x 742 ) / 270830

= 730 / 742

= 730

Step2:

LCM(2, 216) = 216

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

= 2 / 216

= 2

Step3:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

So, Greatest Common Divisor of 730, 742, 216, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 407, 636, 674
• GCD of 529, 652, 687, 465
• GCD of 380, 326, 724, 169
• GCD of 652, 674, 853, 640
• GCD of 824, 142, 660, 879

Given numbers are 730, 742, 216, 462
The greatest common divisor of numbers 730, 742, 216, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 742, 216, 462 is 2.

1. What is the GCD of 730, 742, 216, 462?

GCD of given numbers 730, 742, 216, 462 is 2

2. How to calculate the greatest common divisor of 730, 742, 216, 462?

We can find the highest common divisor of 730, 742, 216, 462 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 730, 742, 216, 462 i.e 2.

3. How can I use the GCD of 730, 742, 216, 462Calculator?

Out the numbers 730, 742, 216, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.