GCD of 144, 663, 358, 460 Calculator

Given Input numbers are 144, 663, 358, 460

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 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (144, 663, 358, 460) = 1.

Given numbers are 144, 663, 358, 460

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 663 are 3 x 13 x 17

Prime factors of 358 are 2 x 179

Prime factors of 460 are 2 x 2 x 5 x 23

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

Given numbers are 144, 663, 358, 460

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

Apply this formula for all numbers.

Step1:

LCM(144, 663) = 31824

GCD(144, 663) = ( 144 x 663 ) / 31824

= 144 / 663

= 144

Step2:

LCM(3, 358) = 1074

GCD(3, 358) = ( 3 x 358 ) / 1074

= 3 / 358

= 3

Step3:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

So, Greatest Common Divisor of 144, 663, 358, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 139, 733, 491
• GCD of 783, 807, 226, 563
• GCD of 333, 242, 879, 767
• GCD of 367, 185, 123, 954
• GCD of 226, 573, 141, 966

Given numbers are 144, 663, 358, 460
The greatest common divisor of numbers 144, 663, 358, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 663, 358, 460 is 1.

1. What is the GCD of 144, 663, 358, 460?

GCD of given numbers 144, 663, 358, 460 is 1

2. How to calculate the greatest common divisor of 144, 663, 358, 460?

We can find the highest common divisor of 144, 663, 358, 460 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, 663, 358, 460 i.e 1.

3. How can I use the GCD of 144, 663, 358, 460Calculator?

Out the numbers 144, 663, 358, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.