GCD of 722, 780, 465, 492 Calculator

Given Input numbers are 722, 780, 465, 492

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (722, 780, 465, 492) = 1.

Given numbers are 722, 780, 465, 492

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 465 are 3 x 5 x 31

Prime factors of 492 are 2 x 2 x 3 x 41

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

Given numbers are 722, 780, 465, 492

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

Apply this formula for all numbers.

Step1:

LCM(722, 780) = 281580

GCD(722, 780) = ( 722 x 780 ) / 281580

= 722 / 780

= 722

Step2:

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

= 2 / 465

= 2

Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

So, Greatest Common Divisor of 722, 780, 465, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 164, 455, 190
• GCD of 138, 664, 494, 930
• GCD of 886, 419, 788, 909
• GCD of 911, 539, 952, 365
• GCD of 296, 272, 853, 187

Given numbers are 722, 780, 465, 492
The greatest common divisor of numbers 722, 780, 465, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 780, 465, 492 is 1.

1. What is the GCD of 722, 780, 465, 492?

GCD of given numbers 722, 780, 465, 492 is 1

2. How to calculate the greatest common divisor of 722, 780, 465, 492?

We can find the highest common divisor of 722, 780, 465, 492 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 722, 780, 465, 492 i.e 1.

3. How can I use the GCD of 722, 780, 465, 492Calculator?

Out the numbers 722, 780, 465, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.