GCD of 159, 300, 72, 403 Calculator

Given Input numbers are 159, 300, 72, 403

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

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

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

Divisors of 403 :

The positive integer divisors of 403 that completely divides 403 are.

1, 13, 31, 403

GCD of numbers is the greatest common divisor

So, the GCD (159, 300, 72, 403) = 1.

Given numbers are 159, 300, 72, 403

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 403 are 13 x 31

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

Given numbers are 159, 300, 72, 403

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

Apply this formula for all numbers.

Step1:

LCM(159, 300) = 15900

GCD(159, 300) = ( 159 x 300 ) / 15900

= 159 / 300

= 159

Step2:

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

= 3 / 72

= 3

Step3:

LCM(3, 403) = 1209

GCD(3, 403) = ( 3 x 403 ) / 1209

= 3 / 403

= 3

So, Greatest Common Divisor of 159, 300, 72, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 881, 25, 215
• GCD of 568, 627, 94, 938
• GCD of 873, 903, 84, 533
• GCD of 419, 463, 38, 844
• GCD of 763, 691, 43, 359

Given numbers are 159, 300, 72, 403
The greatest common divisor of numbers 159, 300, 72, 403 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 300, 72, 403 is 1.

1. What is the GCD of 159, 300, 72, 403?

GCD of given numbers 159, 300, 72, 403 is 1

2. How to calculate the greatest common divisor of 159, 300, 72, 403?

We can find the highest common divisor of 159, 300, 72, 403 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 159, 300, 72, 403 i.e 1.

3. How can I use the GCD of 159, 300, 72, 403Calculator?

Out the numbers 159, 300, 72, 403 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.