GCD of 493, 690, 596, 824 Calculator

Given Input numbers are 493, 690, 596, 824

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

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

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (493, 690, 596, 824) = 1.

Given numbers are 493, 690, 596, 824

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

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

Prime factors of 596 are 2 x 2 x 149

Prime factors of 824 are 2 x 2 x 2 x 103

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

Given numbers are 493, 690, 596, 824

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

Apply this formula for all numbers.

Step1:

LCM(493, 690) = 340170

GCD(493, 690) = ( 493 x 690 ) / 340170

= 493 / 690

= 493

Step2:

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

= 1 / 596

= 1

Step3:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1

So, Greatest Common Divisor of 493, 690, 596, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 329, 566, 618
• GCD of 480, 867, 124, 209
• GCD of 776, 770, 779, 397
• GCD of 156, 199, 398, 139
• GCD of 314, 486, 292, 494

Given numbers are 493, 690, 596, 824
The greatest common divisor of numbers 493, 690, 596, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 690, 596, 824 is 1.

1. What is the GCD of 493, 690, 596, 824?

GCD of given numbers 493, 690, 596, 824 is 1

2. How to calculate the greatest common divisor of 493, 690, 596, 824?

We can find the highest common divisor of 493, 690, 596, 824 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 493, 690, 596, 824 i.e 1.

3. How can I use the GCD of 493, 690, 596, 824Calculator?

Out the numbers 493, 690, 596, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.