GCD of 360, 206, 842, 408 Calculator

Given Input numbers are 360, 206, 842, 408

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

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

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (360, 206, 842, 408) = 2.

Given numbers are 360, 206, 842, 408

The list of prime factors of all numbers are

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

Prime factors of 206 are 2 x 103

Prime factors of 842 are 2 x 421

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 360, 206, 842, 408 is 2.

Given numbers are 360, 206, 842, 408

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

Apply this formula for all numbers.

Step1:

LCM(360, 206) = 37080

GCD(360, 206) = ( 360 x 206 ) / 37080

= 360 / 206

= 360

Step2:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

Step3:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

So, Greatest Common Divisor of 360, 206, 842, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 764, 115, 942
• GCD of 723, 274, 115, 703
• GCD of 684, 460, 811, 652
• GCD of 846, 915, 843, 454
• GCD of 699, 685, 614, 999

Given numbers are 360, 206, 842, 408
The greatest common divisor of numbers 360, 206, 842, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 206, 842, 408 is 2.

1. What is the GCD of 360, 206, 842, 408?

GCD of given numbers 360, 206, 842, 408 is 2

2. How to calculate the greatest common divisor of 360, 206, 842, 408?

We can find the highest common divisor of 360, 206, 842, 408 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 360, 206, 842, 408 i.e 2.

3. How can I use the GCD of 360, 206, 842, 408Calculator?

Out the numbers 360, 206, 842, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.