GCD of 390, 825, 216, 748 Calculator

Given Input numbers are 390, 825, 216, 748

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (390, 825, 216, 748) = 1.

Given numbers are 390, 825, 216, 748

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 825 are 3 x 5 x 5 x 11

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

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 390, 825, 216, 748

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

Apply this formula for all numbers.

Step1:

LCM(390, 825) = 21450

GCD(390, 825) = ( 390 x 825 ) / 21450

= 390 / 825

= 390

Step2:

LCM(15, 216) = 1080

GCD(15, 216) = ( 15 x 216 ) / 1080

= 15 / 216

= 15

Step3:

LCM(3, 748) = 2244

GCD(3, 748) = ( 3 x 748 ) / 2244

= 3 / 748

= 3

So, Greatest Common Divisor of 390, 825, 216, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 668, 271, 673
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Given numbers are 390, 825, 216, 748
The greatest common divisor of numbers 390, 825, 216, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 825, 216, 748 is 1.

1. What is the GCD of 390, 825, 216, 748?

GCD of given numbers 390, 825, 216, 748 is 1

2. How to calculate the greatest common divisor of 390, 825, 216, 748?

We can find the highest common divisor of 390, 825, 216, 748 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 390, 825, 216, 748 i.e 1.

3. How can I use the GCD of 390, 825, 216, 748Calculator?

Out the numbers 390, 825, 216, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.