GCD of 969, 729, 582, 721 Calculator

Given Input numbers are 969, 729, 582, 721

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (969, 729, 582, 721) = 1.

Given numbers are 969, 729, 582, 721

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 582 are 2 x 3 x 97

Prime factors of 721 are 7 x 103

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

Given numbers are 969, 729, 582, 721

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

Apply this formula for all numbers.

Step1:

LCM(969, 729) = 235467

GCD(969, 729) = ( 969 x 729 ) / 235467

= 969 / 729

= 969

Step2:

LCM(3, 582) = 582

GCD(3, 582) = ( 3 x 582 ) / 582

= 3 / 582

= 3

Step3:

LCM(3, 721) = 2163

GCD(3, 721) = ( 3 x 721 ) / 2163

= 3 / 721

= 3

So, Greatest Common Divisor of 969, 729, 582, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 778, 838, 384
• GCD of 495, 713, 218, 437
• GCD of 493, 284, 349, 578
• GCD of 130, 586, 900, 496
• GCD of 653, 403, 871, 396

Given numbers are 969, 729, 582, 721
The greatest common divisor of numbers 969, 729, 582, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 729, 582, 721 is 1.

1. What is the GCD of 969, 729, 582, 721?

GCD of given numbers 969, 729, 582, 721 is 1

2. How to calculate the greatest common divisor of 969, 729, 582, 721?

We can find the highest common divisor of 969, 729, 582, 721 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 969, 729, 582, 721 i.e 1.

3. How can I use the GCD of 969, 729, 582, 721Calculator?

Out the numbers 969, 729, 582, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.