GCD of 936, 825, 24, 456 Calculator

Given Input numbers are 936, 825, 24, 456

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

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

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

GCD of numbers is the greatest common divisor

So, the GCD (936, 825, 24, 456) = 3.

Given numbers are 936, 825, 24, 456

The list of prime factors of all numbers are

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 24 are 2 x 2 x 2 x 3

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

The highest common occurrence is 3¹

Therefore, GCD of 936, 825, 24, 456 is 3.

Given numbers are 936, 825, 24, 456

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

Apply this formula for all numbers.

Step1:

LCM(936, 825) = 257400

GCD(936, 825) = ( 936 x 825 ) / 257400

= 936 / 825

= 936

Step2:

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

= 3 / 24

= 3

Step3:

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

= 3 / 456

= 3

So, Greatest Common Divisor of 936, 825, 24, 456 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 583, 98, 689
• GCD of 223, 575, 95, 299
• GCD of 115, 872, 23, 862
• GCD of 597, 109, 26, 728
• GCD of 374, 594, 86, 308

Given numbers are 936, 825, 24, 456
The greatest common divisor of numbers 936, 825, 24, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 825, 24, 456 is 3.

1. What is the GCD of 936, 825, 24, 456?

GCD of given numbers 936, 825, 24, 456 is 3

2. How to calculate the greatest common divisor of 936, 825, 24, 456?

We can find the highest common divisor of 936, 825, 24, 456 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 936, 825, 24, 456 i.e 3.

3. How can I use the GCD of 936, 825, 24, 456Calculator?

Out the numbers 936, 825, 24, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.