GCD of 493, 822, 18, 774 Calculator

Given Input numbers are 493, 822, 18, 774

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

GCD of numbers is the greatest common divisor

So, the GCD (493, 822, 18, 774) = 1.

Given numbers are 493, 822, 18, 774

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 822 are 2 x 3 x 137

Prime factors of 18 are 2 x 3 x 3

Prime factors of 774 are 2 x 3 x 3 x 43

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

Given numbers are 493, 822, 18, 774

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

Apply this formula for all numbers.

Step1:

LCM(493, 822) = 405246

GCD(493, 822) = ( 493 x 822 ) / 405246

= 493 / 822

= 493

Step2:

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

= 1 / 18

= 1

Step3:

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

= 1 / 774

= 1

So, Greatest Common Divisor of 493, 822, 18, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 984, 81, 206
• GCD of 156, 428, 91, 122
• GCD of 256, 254, 22, 863
• GCD of 212, 704, 60, 248
• GCD of 121, 625, 90, 440

Given numbers are 493, 822, 18, 774
The greatest common divisor of numbers 493, 822, 18, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 822, 18, 774 is 1.

1. What is the GCD of 493, 822, 18, 774?

GCD of given numbers 493, 822, 18, 774 is 1

2. How to calculate the greatest common divisor of 493, 822, 18, 774?

We can find the highest common divisor of 493, 822, 18, 774 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, 822, 18, 774 i.e 1.

3. How can I use the GCD of 493, 822, 18, 774Calculator?

Out the numbers 493, 822, 18, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.