GCD of 456, 900, 531, 144 Calculator

Given Input numbers are 456, 900, 531, 144

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (456, 900, 531, 144) = 3.

Given numbers are 456, 900, 531, 144

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 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 531 are 3 x 3 x 59

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 456, 900, 531, 144 is 3.

Given numbers are 456, 900, 531, 144

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

Apply this formula for all numbers.

Step1:

LCM(456, 900) = 34200

GCD(456, 900) = ( 456 x 900 ) / 34200

= 456 / 900

= 456

Step2:

LCM(12, 531) = 2124

GCD(12, 531) = ( 12 x 531 ) / 2124

= 12 / 531

= 12

Step3:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3

So, Greatest Common Divisor of 456, 900, 531, 144 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 360, 717, 736
• GCD of 396, 807, 809, 826
• GCD of 434, 696, 581, 786
• GCD of 834, 881, 324, 165
• GCD of 787, 241, 110, 570

Given numbers are 456, 900, 531, 144
The greatest common divisor of numbers 456, 900, 531, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 900, 531, 144 is 3.

1. What is the GCD of 456, 900, 531, 144?

GCD of given numbers 456, 900, 531, 144 is 3

2. How to calculate the greatest common divisor of 456, 900, 531, 144?

We can find the highest common divisor of 456, 900, 531, 144 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, 900, 531, 144 i.e 3.

3. How can I use the GCD of 456, 900, 531, 144Calculator?

Out the numbers 456, 900, 531, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.