GCD of 689, 972, 559, 867 Calculator

Given Input numbers are 689, 972, 559, 867

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (689, 972, 559, 867) = 1.

Given numbers are 689, 972, 559, 867

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

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

Prime factors of 559 are 13 x 43

Prime factors of 867 are 3 x 17 x 17

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

Given numbers are 689, 972, 559, 867

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

Apply this formula for all numbers.

Step1:

LCM(689, 972) = 669708

GCD(689, 972) = ( 689 x 972 ) / 669708

= 689 / 972

= 689

Step2:

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

= 1 / 559

= 1

Step3:

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

= 1 / 867

= 1

So, Greatest Common Divisor of 689, 972, 559, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 609, 147, 728
• GCD of 654, 892, 395, 819
• GCD of 574, 268, 151, 514
• GCD of 251, 774, 975, 872
• GCD of 105, 457, 819, 565

Given numbers are 689, 972, 559, 867
The greatest common divisor of numbers 689, 972, 559, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 972, 559, 867 is 1.

1. What is the GCD of 689, 972, 559, 867?

GCD of given numbers 689, 972, 559, 867 is 1

2. How to calculate the greatest common divisor of 689, 972, 559, 867?

We can find the highest common divisor of 689, 972, 559, 867 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 689, 972, 559, 867 i.e 1.

3. How can I use the GCD of 689, 972, 559, 867Calculator?

Out the numbers 689, 972, 559, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.