GCD of 189, 363, 753, 821 Calculator

Given Input numbers are 189, 363, 753, 821

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 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (189, 363, 753, 821) = 1.

Given numbers are 189, 363, 753, 821

The list of prime factors of all numbers are

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

Prime factors of 363 are 3 x 11 x 11

Prime factors of 753 are 3 x 251

Prime factors of 821 are 821

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

Given numbers are 189, 363, 753, 821

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

Apply this formula for all numbers.

Step1:

LCM(189, 363) = 22869

GCD(189, 363) = ( 189 x 363 ) / 22869

= 189 / 363

= 189

Step2:

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

= 3 / 753

= 3

Step3:

LCM(3, 821) = 2463

GCD(3, 821) = ( 3 x 821 ) / 2463

= 3 / 821

= 3

So, Greatest Common Divisor of 189, 363, 753, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 933, 192, 341
• GCD of 965, 401, 765, 419
• GCD of 892, 178, 106, 203
• GCD of 919, 951, 680, 522
• GCD of 659, 888, 861, 914

Given numbers are 189, 363, 753, 821
The greatest common divisor of numbers 189, 363, 753, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 363, 753, 821 is 1.

1. What is the GCD of 189, 363, 753, 821?

GCD of given numbers 189, 363, 753, 821 is 1

2. How to calculate the greatest common divisor of 189, 363, 753, 821?

We can find the highest common divisor of 189, 363, 753, 821 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, 363, 753, 821 i.e 1.

3. How can I use the GCD of 189, 363, 753, 821Calculator?

Out the numbers 189, 363, 753, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.