GCD of 972, 208, 518, 366 Calculator

Given Input numbers are 972, 208, 518, 366

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

GCD of numbers is the greatest common divisor

So, the GCD (972, 208, 518, 366) = 2.

Given numbers are 972, 208, 518, 366

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 518 are 2 x 7 x 37

Prime factors of 366 are 2 x 3 x 61

The highest common occurrence is 2¹

Therefore, GCD of 972, 208, 518, 366 is 2.

Given numbers are 972, 208, 518, 366

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

Apply this formula for all numbers.

Step1:

LCM(972, 208) = 50544

GCD(972, 208) = ( 972 x 208 ) / 50544

= 972 / 208

= 972

Step2:

LCM(4, 518) = 1036

GCD(4, 518) = ( 4 x 518 ) / 1036

= 4 / 518

= 4

Step3:

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

= 2 / 366

= 2

So, Greatest Common Divisor of 972, 208, 518, 366 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 782, 319, 348
• GCD of 852, 556, 255, 218
• GCD of 878, 622, 178, 300
• GCD of 742, 244, 507, 962
• GCD of 130, 940, 452, 638

Given numbers are 972, 208, 518, 366
The greatest common divisor of numbers 972, 208, 518, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 208, 518, 366 is 2.

1. What is the GCD of 972, 208, 518, 366?

GCD of given numbers 972, 208, 518, 366 is 2

2. How to calculate the greatest common divisor of 972, 208, 518, 366?

We can find the highest common divisor of 972, 208, 518, 366 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 972, 208, 518, 366 i.e 2.

3. How can I use the GCD of 972, 208, 518, 366Calculator?

Out the numbers 972, 208, 518, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.