GCD of 689, 321, 712 Calculator

Given Input numbers are 689, 321, 712

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 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (689, 321, 712) = 1.

Given numbers are 689, 321, 712

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 321 are 3 x 107

Prime factors of 712 are 2 x 2 x 2 x 89

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

Given numbers are 689, 321, 712

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

Apply this formula for all numbers.

Step1:

LCM(689, 321) = 221169

GCD(689, 321) = ( 689 x 321 ) / 221169

= 689 / 321

= 689

Step2:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1

So, Greatest Common Divisor of 689, 321, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 245, 830
• GCD of 455, 313, 585
• GCD of 544, 722, 823
• GCD of 942, 385, 730
• GCD of 689, 456, 186

Given numbers are 689, 321, 712
The greatest common divisor of numbers 689, 321, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 321, 712 is 1.

1. What is the GCD of 689, 321, 712?

GCD of given numbers 689, 321, 712 is 1

2. How to calculate the greatest common divisor of 689, 321, 712?

We can find the highest common divisor of 689, 321, 712 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, 321, 712 i.e 1.

3. How can I use the GCD of 689, 321, 712Calculator?

Out the numbers 689, 321, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.