GCD of 456, 636, 504, 633 Calculator

Given Input numbers are 456, 636, 504, 633

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

GCD of numbers is the greatest common divisor

So, the GCD (456, 636, 504, 633) = 3.

Given numbers are 456, 636, 504, 633

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 633 are 3 x 211

The highest common occurrence is 3¹

Therefore, GCD of 456, 636, 504, 633 is 3.

Given numbers are 456, 636, 504, 633

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

Apply this formula for all numbers.

Step1:

LCM(456, 636) = 24168

GCD(456, 636) = ( 456 x 636 ) / 24168

= 456 / 636

= 456

Step2:

LCM(12, 504) = 504

GCD(12, 504) = ( 12 x 504 ) / 504

= 12 / 504

= 12

Step3:

LCM(12, 633) = 2532

GCD(12, 633) = ( 12 x 633 ) / 2532

= 12 / 633

= 12

So, Greatest Common Divisor of 456, 636, 504, 633 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 423, 781, 232
• GCD of 589, 707, 193, 225
• GCD of 499, 258, 291, 665
• GCD of 430, 380, 392, 943
• GCD of 252, 342, 588, 910

Given numbers are 456, 636, 504, 633
The greatest common divisor of numbers 456, 636, 504, 633 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 636, 504, 633 is 3.

1. What is the GCD of 456, 636, 504, 633?

GCD of given numbers 456, 636, 504, 633 is 3

2. How to calculate the greatest common divisor of 456, 636, 504, 633?

We can find the highest common divisor of 456, 636, 504, 633 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 456, 636, 504, 633 i.e 3.

3. How can I use the GCD of 456, 636, 504, 633Calculator?

Out the numbers 456, 636, 504, 633 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.