GCD of 189, 522, 748, 190 Calculator

Given Input numbers are 189, 522, 748, 190

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

GCD of numbers is the greatest common divisor

So, the GCD (189, 522, 748, 190) = 1.

Given numbers are 189, 522, 748, 190

The list of prime factors of all numbers are

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

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 190 are 2 x 5 x 19

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

Given numbers are 189, 522, 748, 190

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

Apply this formula for all numbers.

Step1:

LCM(189, 522) = 10962

GCD(189, 522) = ( 189 x 522 ) / 10962

= 189 / 522

= 189

Step2:

LCM(9, 748) = 6732

GCD(9, 748) = ( 9 x 748 ) / 6732

= 9 / 748

= 9

Step3:

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

= 1 / 190

= 1

So, Greatest Common Divisor of 189, 522, 748, 190 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 101, 177, 358
• GCD of 983, 681, 372, 594
• GCD of 772, 895, 164, 664
• GCD of 903, 279, 866, 954
• GCD of 920, 654, 836, 887

Given numbers are 189, 522, 748, 190
The greatest common divisor of numbers 189, 522, 748, 190 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 522, 748, 190 is 1.

1. What is the GCD of 189, 522, 748, 190?

GCD of given numbers 189, 522, 748, 190 is 1

2. How to calculate the greatest common divisor of 189, 522, 748, 190?

We can find the highest common divisor of 189, 522, 748, 190 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, 522, 748, 190 i.e 1.

3. How can I use the GCD of 189, 522, 748, 190Calculator?

Out the numbers 189, 522, 748, 190 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.