GCD of 713, 589, 759, 993 Calculator

Given Input numbers are 713, 589, 759, 993

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

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (713, 589, 759, 993) = 1.

Given numbers are 713, 589, 759, 993

The list of prime factors of all numbers are

Prime factors of 713 are 23 x 31

Prime factors of 589 are 19 x 31

Prime factors of 759 are 3 x 11 x 23

Prime factors of 993 are 3 x 331

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

Given numbers are 713, 589, 759, 993

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

Apply this formula for all numbers.

Step1:

LCM(713, 589) = 13547

GCD(713, 589) = ( 713 x 589 ) / 13547

= 713 / 589

= 713

Step2:

LCM(31, 759) = 23529

GCD(31, 759) = ( 31 x 759 ) / 23529

= 31 / 759

= 31

Step3:

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

= 1 / 993

= 1

So, Greatest Common Divisor of 713, 589, 759, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 842, 521, 789
• GCD of 123, 573, 391, 712
• GCD of 772, 316, 527, 476
• GCD of 669, 311, 806, 524
• GCD of 645, 130, 244, 388

Given numbers are 713, 589, 759, 993
The greatest common divisor of numbers 713, 589, 759, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 713, 589, 759, 993 is 1.

1. What is the GCD of 713, 589, 759, 993?

GCD of given numbers 713, 589, 759, 993 is 1

2. How to calculate the greatest common divisor of 713, 589, 759, 993?

We can find the highest common divisor of 713, 589, 759, 993 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 713, 589, 759, 993 i.e 1.

3. How can I use the GCD of 713, 589, 759, 993Calculator?

Out the numbers 713, 589, 759, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.