GCD of 821, 321, 107, 690 Calculator

Given Input numbers are 821, 321, 107, 690

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 321 :

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

1, 3, 107, 321

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (821, 321, 107, 690) = 1.

Given numbers are 821, 321, 107, 690

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 321 are 3 x 107

Prime factors of 107 are 107

Prime factors of 690 are 2 x 3 x 5 x 23

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

Given numbers are 821, 321, 107, 690

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

Apply this formula for all numbers.

Step1:

LCM(821, 321) = 263541

GCD(821, 321) = ( 821 x 321 ) / 263541

= 821 / 321

= 821

Step2:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 821, 321, 107, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 155, 923, 211
• GCD of 104, 519, 153, 319
• GCD of 755, 784, 156, 239
• GCD of 673, 215, 878, 351
• GCD of 144, 855, 704, 458

Given numbers are 821, 321, 107, 690
The greatest common divisor of numbers 821, 321, 107, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 321, 107, 690 is 1.

1. What is the GCD of 821, 321, 107, 690?

GCD of given numbers 821, 321, 107, 690 is 1

2. How to calculate the greatest common divisor of 821, 321, 107, 690?

We can find the highest common divisor of 821, 321, 107, 690 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 821, 321, 107, 690 i.e 1.

3. How can I use the GCD of 821, 321, 107, 690Calculator?

Out the numbers 821, 321, 107, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.