GCD of 744, 822, 438, 361 Calculator

Given Input numbers are 744, 822, 438, 361

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 822 :

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

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (744, 822, 438, 361) = 1.

Given numbers are 744, 822, 438, 361

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 822 are 2 x 3 x 137

Prime factors of 438 are 2 x 3 x 73

Prime factors of 361 are 19 x 19

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

Given numbers are 744, 822, 438, 361

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

Apply this formula for all numbers.

Step1:

LCM(744, 822) = 101928

GCD(744, 822) = ( 744 x 822 ) / 101928

= 744 / 822

= 744

Step2:

LCM(6, 438) = 438

GCD(6, 438) = ( 6 x 438 ) / 438

= 6 / 438

= 6

Step3:

LCM(6, 361) = 2166

GCD(6, 361) = ( 6 x 361 ) / 2166

= 6 / 361

= 6

So, Greatest Common Divisor of 744, 822, 438, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 509, 270, 537
• GCD of 101, 677, 329, 277
• GCD of 600, 464, 791, 734
• GCD of 190, 514, 430, 634
• GCD of 518, 157, 127, 346

Given numbers are 744, 822, 438, 361
The greatest common divisor of numbers 744, 822, 438, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 822, 438, 361 is 1.

1. What is the GCD of 744, 822, 438, 361?

GCD of given numbers 744, 822, 438, 361 is 1

2. How to calculate the greatest common divisor of 744, 822, 438, 361?

We can find the highest common divisor of 744, 822, 438, 361 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 744, 822, 438, 361 i.e 1.

3. How can I use the GCD of 744, 822, 438, 361Calculator?

Out the numbers 744, 822, 438, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.