GCD of 722, 924, 31, 638 Calculator

Given Input numbers are 722, 924, 31, 638

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 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (722, 924, 31, 638) = 1.

Given numbers are 722, 924, 31, 638

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 31 are 31

Prime factors of 638 are 2 x 11 x 29

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

Given numbers are 722, 924, 31, 638

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

Apply this formula for all numbers.

Step1:

LCM(722, 924) = 333564

GCD(722, 924) = ( 722 x 924 ) / 333564

= 722 / 924

= 722

Step2:

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

= 2 / 31

= 2

Step3:

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

= 1 / 638

= 1

So, Greatest Common Divisor of 722, 924, 31, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 181, 37, 872
• GCD of 321, 471, 69, 268
• GCD of 367, 422, 14, 132
• GCD of 169, 961, 81, 919
• GCD of 792, 213, 82, 146

Given numbers are 722, 924, 31, 638
The greatest common divisor of numbers 722, 924, 31, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 924, 31, 638 is 1.

1. What is the GCD of 722, 924, 31, 638?

GCD of given numbers 722, 924, 31, 638 is 1

2. How to calculate the greatest common divisor of 722, 924, 31, 638?

We can find the highest common divisor of 722, 924, 31, 638 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, 924, 31, 638 i.e 1.

3. How can I use the GCD of 722, 924, 31, 638Calculator?

Out the numbers 722, 924, 31, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.