GCD of 360, 638, 216, 826 Calculator

Given Input numbers are 360, 638, 216, 826

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 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (360, 638, 216, 826) = 2.

Given numbers are 360, 638, 216, 826

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 638 are 2 x 11 x 29

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 360, 638, 216, 826 is 2.

Given numbers are 360, 638, 216, 826

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

Apply this formula for all numbers.

Step1:

LCM(360, 638) = 114840

GCD(360, 638) = ( 360 x 638 ) / 114840

= 360 / 638

= 360

Step2:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 360, 638, 216, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 755, 681, 191
• GCD of 253, 679, 124, 277
• GCD of 693, 213, 633, 352
• GCD of 728, 584, 466, 679
• GCD of 942, 957, 166, 214

Given numbers are 360, 638, 216, 826
The greatest common divisor of numbers 360, 638, 216, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 638, 216, 826 is 2.

1. What is the GCD of 360, 638, 216, 826?

GCD of given numbers 360, 638, 216, 826 is 2

2. How to calculate the greatest common divisor of 360, 638, 216, 826?

We can find the highest common divisor of 360, 638, 216, 826 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, 638, 216, 826 i.e 2.

3. How can I use the GCD of 360, 638, 216, 826Calculator?

Out the numbers 360, 638, 216, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.