GCD of 825, 205, 121, 322 Calculator

Given Input numbers are 825, 205, 121, 322

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

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 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

GCD of numbers is the greatest common divisor

So, the GCD (825, 205, 121, 322) = 1.

Given numbers are 825, 205, 121, 322

The list of prime factors of all numbers are

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

Prime factors of 205 are 5 x 41

Prime factors of 121 are 11 x 11

Prime factors of 322 are 2 x 7 x 23

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

Given numbers are 825, 205, 121, 322

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

Apply this formula for all numbers.

Step1:

LCM(825, 205) = 33825

GCD(825, 205) = ( 825 x 205 ) / 33825

= 825 / 205

= 825

Step2:

LCM(5, 121) = 605

GCD(5, 121) = ( 5 x 121 ) / 605

= 5 / 121

= 5

Step3:

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

= 1 / 322

= 1

So, Greatest Common Divisor of 825, 205, 121, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 508, 116, 193
• GCD of 487, 368, 537, 213
• GCD of 248, 266, 365, 995
• GCD of 903, 657, 176, 887
• GCD of 877, 608, 708, 149

Given numbers are 825, 205, 121, 322
The greatest common divisor of numbers 825, 205, 121, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 205, 121, 322 is 1.

1. What is the GCD of 825, 205, 121, 322?

GCD of given numbers 825, 205, 121, 322 is 1

2. How to calculate the greatest common divisor of 825, 205, 121, 322?

We can find the highest common divisor of 825, 205, 121, 322 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 825, 205, 121, 322 i.e 1.

3. How can I use the GCD of 825, 205, 121, 322Calculator?

Out the numbers 825, 205, 121, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.