GCD of 897, 357, 825, 333 Calculator

Given Input numbers are 897, 357, 825, 333

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

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 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

GCD of numbers is the greatest common divisor

So, the GCD (897, 357, 825, 333) = 3.

Given numbers are 897, 357, 825, 333

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 357 are 3 x 7 x 17

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

Prime factors of 333 are 3 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 897, 357, 825, 333 is 3.

Given numbers are 897, 357, 825, 333

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

Apply this formula for all numbers.

Step1:

LCM(897, 357) = 106743

GCD(897, 357) = ( 897 x 357 ) / 106743

= 897 / 357

= 897

Step2:

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

= 3 / 825

= 3

Step3:

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

= 3 / 333

= 3

So, Greatest Common Divisor of 897, 357, 825, 333 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 172, 824, 701
• GCD of 445, 681, 295, 225
• GCD of 468, 176, 839, 446
• GCD of 418, 825, 423, 851
• GCD of 573, 724, 971, 792

Given numbers are 897, 357, 825, 333
The greatest common divisor of numbers 897, 357, 825, 333 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 357, 825, 333 is 3.

1. What is the GCD of 897, 357, 825, 333?

GCD of given numbers 897, 357, 825, 333 is 3

2. How to calculate the greatest common divisor of 897, 357, 825, 333?

We can find the highest common divisor of 897, 357, 825, 333 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 897, 357, 825, 333 i.e 3.

3. How can I use the GCD of 897, 357, 825, 333Calculator?

Out the numbers 897, 357, 825, 333 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.