GCD of 720, 972, 189, 640 Calculator

Given Input numbers are 720, 972, 189, 640

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

GCD of numbers is the greatest common divisor

So, the GCD (720, 972, 189, 640) = 1.

Given numbers are 720, 972, 189, 640

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 720, 972, 189, 640

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

Apply this formula for all numbers.

Step1:

LCM(720, 972) = 19440

GCD(720, 972) = ( 720 x 972 ) / 19440

= 720 / 972

= 720

Step2:

LCM(36, 189) = 756

GCD(36, 189) = ( 36 x 189 ) / 756

= 36 / 189

= 36

Step3:

LCM(9, 640) = 5760

GCD(9, 640) = ( 9 x 640 ) / 5760

= 9 / 640

= 9

So, Greatest Common Divisor of 720, 972, 189, 640 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 234, 491, 759
• GCD of 929, 145, 835, 984
• GCD of 219, 478, 394, 768
• GCD of 313, 804, 243, 923
• GCD of 510, 850, 242, 692

Given numbers are 720, 972, 189, 640
The greatest common divisor of numbers 720, 972, 189, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 972, 189, 640 is 1.

1. What is the GCD of 720, 972, 189, 640?

GCD of given numbers 720, 972, 189, 640 is 1

2. How to calculate the greatest common divisor of 720, 972, 189, 640?

We can find the highest common divisor of 720, 972, 189, 640 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 720, 972, 189, 640 i.e 1.

3. How can I use the GCD of 720, 972, 189, 640Calculator?

Out the numbers 720, 972, 189, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.