GCD of 353, 216, 984, 825 Calculator

Given Input numbers are 353, 216, 984, 825

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

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

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 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

GCD of numbers is the greatest common divisor

So, the GCD (353, 216, 984, 825) = 1.

Given numbers are 353, 216, 984, 825

The list of prime factors of all numbers are

Prime factors of 353 are 353

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

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

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

Given numbers are 353, 216, 984, 825

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

Apply this formula for all numbers.

Step1:

LCM(353, 216) = 76248

GCD(353, 216) = ( 353 x 216 ) / 76248

= 353 / 216

= 353

Step2:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 353, 216, 984, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 297, 151, 891
• GCD of 156, 118, 485, 243
• GCD of 242, 352, 716, 374
• GCD of 389, 355, 809, 213
• GCD of 594, 571, 432, 220

Given numbers are 353, 216, 984, 825
The greatest common divisor of numbers 353, 216, 984, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 353, 216, 984, 825 is 1.

1. What is the GCD of 353, 216, 984, 825?

GCD of given numbers 353, 216, 984, 825 is 1

2. How to calculate the greatest common divisor of 353, 216, 984, 825?

We can find the highest common divisor of 353, 216, 984, 825 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 353, 216, 984, 825 i.e 1.

3. How can I use the GCD of 353, 216, 984, 825Calculator?

Out the numbers 353, 216, 984, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.