GCD of 208, 458, 462, 180 Calculator

Given Input numbers are 208, 458, 462, 180

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (208, 458, 462, 180) = 2.

Given numbers are 208, 458, 462, 180

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 458 are 2 x 229

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 208, 458, 462, 180 is 2.

Given numbers are 208, 458, 462, 180

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

Apply this formula for all numbers.

Step1:

LCM(208, 458) = 47632

GCD(208, 458) = ( 208 x 458 ) / 47632

= 208 / 458

= 208

Step2:

LCM(2, 462) = 462

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

= 2 / 462

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 208, 458, 462, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 866, 633, 743
• GCD of 574, 896, 402, 968
• GCD of 401, 284, 358, 853
• GCD of 674, 111, 732, 204
• GCD of 801, 935, 499, 666

Given numbers are 208, 458, 462, 180
The greatest common divisor of numbers 208, 458, 462, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 458, 462, 180 is 2.

1. What is the GCD of 208, 458, 462, 180?

GCD of given numbers 208, 458, 462, 180 is 2

2. How to calculate the greatest common divisor of 208, 458, 462, 180?

We can find the highest common divisor of 208, 458, 462, 180 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 208, 458, 462, 180 i.e 2.

3. How can I use the GCD of 208, 458, 462, 180Calculator?

Out the numbers 208, 458, 462, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.