GCD of 189, 221, 232, 975 Calculator

Given Input numbers are 189, 221, 232, 975

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 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (189, 221, 232, 975) = 1.

Given numbers are 189, 221, 232, 975

The list of prime factors of all numbers are

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

Prime factors of 221 are 13 x 17

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 975 are 3 x 5 x 5 x 13

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

Given numbers are 189, 221, 232, 975

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

Apply this formula for all numbers.

Step1:

LCM(189, 221) = 41769

GCD(189, 221) = ( 189 x 221 ) / 41769

= 189 / 221

= 189

Step2:

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

= 1 / 232

= 1

Step3:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

So, Greatest Common Divisor of 189, 221, 232, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 382, 577, 407
• GCD of 892, 461, 491, 537
• GCD of 305, 389, 645, 894
• GCD of 104, 813, 713, 468
• GCD of 205, 530, 275, 578

Given numbers are 189, 221, 232, 975
The greatest common divisor of numbers 189, 221, 232, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 221, 232, 975 is 1.

1. What is the GCD of 189, 221, 232, 975?

GCD of given numbers 189, 221, 232, 975 is 1

2. How to calculate the greatest common divisor of 189, 221, 232, 975?

We can find the highest common divisor of 189, 221, 232, 975 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, 221, 232, 975 i.e 1.

3. How can I use the GCD of 189, 221, 232, 975Calculator?

Out the numbers 189, 221, 232, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.