GCD of 918, 825, 570, 897 Calculator

Given Input numbers are 918, 825, 570, 897

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 897 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (918, 825, 570, 897) = 3.

Given numbers are 918, 825, 570, 897

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 897 are 3 x 13 x 23

The highest common occurrence is 3¹

Therefore, GCD of 918, 825, 570, 897 is 3.

Given numbers are 918, 825, 570, 897

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

Apply this formula for all numbers.

Step1:

LCM(918, 825) = 252450

GCD(918, 825) = ( 918 x 825 ) / 252450

= 918 / 825

= 918

Step2:

LCM(3, 570) = 570

GCD(3, 570) = ( 3 x 570 ) / 570

= 3 / 570

= 3

Step3:

LCM(3, 897) = 897

GCD(3, 897) = ( 3 x 897 ) / 897

= 3 / 897

= 3

So, Greatest Common Divisor of 918, 825, 570, 897 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 570, 342, 789
• GCD of 241, 392, 684, 878
• GCD of 802, 411, 785, 686
• GCD of 120, 387, 478, 771
• GCD of 502, 298, 966, 490

Given numbers are 918, 825, 570, 897
The greatest common divisor of numbers 918, 825, 570, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 825, 570, 897 is 3.

1. What is the GCD of 918, 825, 570, 897?

GCD of given numbers 918, 825, 570, 897 is 3

2. How to calculate the greatest common divisor of 918, 825, 570, 897?

We can find the highest common divisor of 918, 825, 570, 897 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 918, 825, 570, 897 i.e 3.

3. How can I use the GCD of 918, 825, 570, 897Calculator?

Out the numbers 918, 825, 570, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.