GCD of 322, 240, 584, 693 Calculator

Given Input numbers are 322, 240, 584, 693

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

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

GCD of numbers is the greatest common divisor

So, the GCD (322, 240, 584, 693) = 1.

Given numbers are 322, 240, 584, 693

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 584 are 2 x 2 x 2 x 73

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

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

Given numbers are 322, 240, 584, 693

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

Apply this formula for all numbers.

Step1:

LCM(322, 240) = 38640

GCD(322, 240) = ( 322 x 240 ) / 38640

= 322 / 240

= 322

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

Step3:

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

= 2 / 693

= 2

So, Greatest Common Divisor of 322, 240, 584, 693 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 278, 498, 760
• GCD of 715, 785, 354, 724
• GCD of 441, 193, 370, 669
• GCD of 411, 390, 577, 813
• GCD of 797, 121, 786, 137

Given numbers are 322, 240, 584, 693
The greatest common divisor of numbers 322, 240, 584, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 240, 584, 693 is 1.

1. What is the GCD of 322, 240, 584, 693?

GCD of given numbers 322, 240, 584, 693 is 1

2. How to calculate the greatest common divisor of 322, 240, 584, 693?

We can find the highest common divisor of 322, 240, 584, 693 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 322, 240, 584, 693 i.e 1.

3. How can I use the GCD of 322, 240, 584, 693Calculator?

Out the numbers 322, 240, 584, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.