GCD of 597, 693, 642, 321 Calculator

Given Input numbers are 597, 693, 642, 321

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

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 321 :

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

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (597, 693, 642, 321) = 3.

Given numbers are 597, 693, 642, 321

The list of prime factors of all numbers are

Prime factors of 597 are 3 x 199

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 642 are 2 x 3 x 107

Prime factors of 321 are 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 597, 693, 642, 321 is 3.

Given numbers are 597, 693, 642, 321

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

Apply this formula for all numbers.

Step1:

LCM(597, 693) = 137907

GCD(597, 693) = ( 597 x 693 ) / 137907

= 597 / 693

= 597

Step2:

LCM(3, 642) = 642

GCD(3, 642) = ( 3 x 642 ) / 642

= 3 / 642

= 3

Step3:

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

= 3 / 321

= 3

So, Greatest Common Divisor of 597, 693, 642, 321 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 519, 305, 881
• GCD of 219, 648, 194, 744
• GCD of 238, 816, 630, 122
• GCD of 159, 928, 895, 361
• GCD of 877, 913, 535, 149

Given numbers are 597, 693, 642, 321
The greatest common divisor of numbers 597, 693, 642, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 597, 693, 642, 321 is 3.

1. What is the GCD of 597, 693, 642, 321?

GCD of given numbers 597, 693, 642, 321 is 3

2. How to calculate the greatest common divisor of 597, 693, 642, 321?

We can find the highest common divisor of 597, 693, 642, 321 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 597, 693, 642, 321 i.e 3.

3. How can I use the GCD of 597, 693, 642, 321Calculator?

Out the numbers 597, 693, 642, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.