GCD of 189, 917, 228, 825 Calculator

Given Input numbers are 189, 917, 228, 825

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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 (189, 917, 228, 825) = 1.

Given numbers are 189, 917, 228, 825

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 917 are 7 x 131

Prime factors of 228 are 2 x 2 x 3 x 19

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 189, 917, 228, 825

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

Apply this formula for all numbers.

Step1:

LCM(189, 917) = 24759

GCD(189, 917) = ( 189 x 917 ) / 24759

= 189 / 917

= 189

Step2:

LCM(7, 228) = 1596

GCD(7, 228) = ( 7 x 228 ) / 1596

= 7 / 228

= 7

Step3:

LCM(1, 825) = 825

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

= 1 / 825

= 1

So, Greatest Common Divisor of 189, 917, 228, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 979, 692, 944
• GCD of 810, 877, 942, 679
• GCD of 917, 892, 952, 163
• GCD of 714, 364, 545, 675
• GCD of 339, 995, 355, 241

Given numbers are 189, 917, 228, 825
The greatest common divisor of numbers 189, 917, 228, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 917, 228, 825 is 1.

1. What is the GCD of 189, 917, 228, 825?

GCD of given numbers 189, 917, 228, 825 is 1

2. How to calculate the greatest common divisor of 189, 917, 228, 825?

We can find the highest common divisor of 189, 917, 228, 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 189, 917, 228, 825 i.e 1.

3. How can I use the GCD of 189, 917, 228, 825Calculator?

Out the numbers 189, 917, 228, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.