GCD of 189, 600, 302, 441 Calculator

Given Input numbers are 189, 600, 302, 441

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (189, 600, 302, 441) = 1.

Given numbers are 189, 600, 302, 441

The list of prime factors of all numbers are

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

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 302 are 2 x 151

Prime factors of 441 are 3 x 3 x 7 x 7

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

Given numbers are 189, 600, 302, 441

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

Apply this formula for all numbers.

Step1:

LCM(189, 600) = 37800

GCD(189, 600) = ( 189 x 600 ) / 37800

= 189 / 600

= 189

Step2:

LCM(3, 302) = 906

GCD(3, 302) = ( 3 x 302 ) / 906

= 3 / 302

= 3

Step3:

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

= 1 / 441

= 1

So, Greatest Common Divisor of 189, 600, 302, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 122, 329, 715
• GCD of 626, 451, 797, 110
• GCD of 693, 874, 998, 306
• GCD of 305, 928, 453, 869
• GCD of 608, 781, 659, 216

Given numbers are 189, 600, 302, 441
The greatest common divisor of numbers 189, 600, 302, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 600, 302, 441 is 1.

1. What is the GCD of 189, 600, 302, 441?

GCD of given numbers 189, 600, 302, 441 is 1

2. How to calculate the greatest common divisor of 189, 600, 302, 441?

We can find the highest common divisor of 189, 600, 302, 441 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, 600, 302, 441 i.e 1.

3. How can I use the GCD of 189, 600, 302, 441Calculator?

Out the numbers 189, 600, 302, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.