GCD of 144, 331, 456, 952 Calculator

Given Input numbers are 144, 331, 456, 952

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

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

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

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 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (144, 331, 456, 952) = 1.

Given numbers are 144, 331, 456, 952

The list of prime factors of all numbers are

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

Prime factors of 331 are 331

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

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 144, 331, 456, 952

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

Apply this formula for all numbers.

Step1:

LCM(144, 331) = 47664

GCD(144, 331) = ( 144 x 331 ) / 47664

= 144 / 331

= 144

Step2:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

Step3:

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

= 1 / 952

= 1

So, Greatest Common Divisor of 144, 331, 456, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 463, 226, 311
• GCD of 844, 514, 173, 358
• GCD of 470, 284, 809, 100
• GCD of 364, 374, 537, 912
• GCD of 617, 827, 602, 255

Given numbers are 144, 331, 456, 952
The greatest common divisor of numbers 144, 331, 456, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 331, 456, 952 is 1.

1. What is the GCD of 144, 331, 456, 952?

GCD of given numbers 144, 331, 456, 952 is 1

2. How to calculate the greatest common divisor of 144, 331, 456, 952?

We can find the highest common divisor of 144, 331, 456, 952 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 144, 331, 456, 952 i.e 1.

3. How can I use the GCD of 144, 331, 456, 952Calculator?

Out the numbers 144, 331, 456, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.