GCD of 472, 200, 462 Calculator

Given Input numbers are 472, 200, 462

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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 (472, 200, 462) = 2.

Given numbers are 472, 200, 462

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 472, 200, 462 is 2.

Given numbers are 472, 200, 462

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

Apply this formula for all numbers.

Step1:

LCM(472, 200) = 11800

GCD(472, 200) = ( 472 x 200 ) / 11800

= 472 / 200

= 472

Step2:

LCM(8, 462) = 1848

GCD(8, 462) = ( 8 x 462 ) / 1848

= 8 / 462

= 8

So, Greatest Common Divisor of 472, 200, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 561, 947
• GCD of 237, 613, 755
• GCD of 512, 896, 222
• GCD of 253, 711, 169
• GCD of 280, 274, 358

Given numbers are 472, 200, 462
The greatest common divisor of numbers 472, 200, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 200, 462 is 2.

1. What is the GCD of 472, 200, 462?

GCD of given numbers 472, 200, 462 is 2

2. How to calculate the greatest common divisor of 472, 200, 462?

We can find the highest common divisor of 472, 200, 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 472, 200, 462 i.e 2.

3. How can I use the GCD of 472, 200, 462Calculator?

Out the numbers 472, 200, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.