GCD of 689, 321, 37, 830 Calculator

Given Input numbers are 689, 321, 37, 830

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 37 :

The positive integer divisors of 37 that completely divides 37 are.

1, 37

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

GCD of numbers is the greatest common divisor

So, the GCD (689, 321, 37, 830) = 1.

Given numbers are 689, 321, 37, 830

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 37 are 37

Prime factors of 830 are 2 x 5 x 83

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

Given numbers are 689, 321, 37, 830

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, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

= 1 / 37

= 1

Step3:

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

= 1 / 830

= 1

So, Greatest Common Divisor of 689, 321, 37, 830 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 408, 53, 809
• GCD of 923, 134, 51, 969
• GCD of 604, 145, 76, 564
• GCD of 659, 925, 94, 352
• GCD of 657, 383, 90, 619

Given numbers are 689, 321, 37, 830
The greatest common divisor of numbers 689, 321, 37, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 321, 37, 830 is 1.

1. What is the GCD of 689, 321, 37, 830?

GCD of given numbers 689, 321, 37, 830 is 1

2. How to calculate the greatest common divisor of 689, 321, 37, 830?

We can find the highest common divisor of 689, 321, 37, 830 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, 37, 830 i.e 1.

3. How can I use the GCD of 689, 321, 37, 830Calculator?

Out the numbers 689, 321, 37, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.