GCD of 684, 653, 22, 728 Calculator

Given Input numbers are 684, 653, 22, 728

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (684, 653, 22, 728) = 1.

Given numbers are 684, 653, 22, 728

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 653 are 653

Prime factors of 22 are 2 x 11

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 684, 653, 22, 728

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

Apply this formula for all numbers.

Step1:

LCM(684, 653) = 446652

GCD(684, 653) = ( 684 x 653 ) / 446652

= 684 / 653

= 684

Step2:

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

= 1 / 22

= 1

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 684, 653, 22, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 500, 57, 129
• GCD of 466, 350, 96, 654
• GCD of 838, 444, 66, 321
• GCD of 170, 638, 52, 570
• GCD of 272, 399, 16, 245

Given numbers are 684, 653, 22, 728
The greatest common divisor of numbers 684, 653, 22, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 653, 22, 728 is 1.

1. What is the GCD of 684, 653, 22, 728?

GCD of given numbers 684, 653, 22, 728 is 1

2. How to calculate the greatest common divisor of 684, 653, 22, 728?

We can find the highest common divisor of 684, 653, 22, 728 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 684, 653, 22, 728 i.e 1.

3. How can I use the GCD of 684, 653, 22, 728Calculator?

Out the numbers 684, 653, 22, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.