GCD of 822, 337, 704, 360 Calculator

Given Input numbers are 822, 337, 704, 360

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

Divisors of 822 :

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

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

Divisors of 337 :

The positive integer divisors of 337 that completely divides 337 are.

1, 337

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (822, 337, 704, 360) = 1.

Given numbers are 822, 337, 704, 360

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 337 are 337

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 822, 337, 704, 360

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

Apply this formula for all numbers.

Step1:

LCM(822, 337) = 277014

GCD(822, 337) = ( 822 x 337 ) / 277014

= 822 / 337

= 822

Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 822, 337, 704, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 457, 823, 577
• GCD of 778, 576, 144, 166
• GCD of 692, 103, 465, 190
• GCD of 256, 735, 644, 733
• GCD of 235, 678, 756, 917

Given numbers are 822, 337, 704, 360
The greatest common divisor of numbers 822, 337, 704, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 337, 704, 360 is 1.

1. What is the GCD of 822, 337, 704, 360?

GCD of given numbers 822, 337, 704, 360 is 1

2. How to calculate the greatest common divisor of 822, 337, 704, 360?

We can find the highest common divisor of 822, 337, 704, 360 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 822, 337, 704, 360 i.e 1.

3. How can I use the GCD of 822, 337, 704, 360Calculator?

Out the numbers 822, 337, 704, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.