GCD of 189, 724, 602, 200 Calculator

Given Input numbers are 189, 724, 602, 200

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (189, 724, 602, 200) = 1.

Given numbers are 189, 724, 602, 200

The list of prime factors of all numbers are

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 602 are 2 x 7 x 43

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

Given numbers are 189, 724, 602, 200

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

Apply this formula for all numbers.

Step1:

LCM(189, 724) = 136836

GCD(189, 724) = ( 189 x 724 ) / 136836

= 189 / 724

= 189

Step2:

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

= 1 / 602

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 189, 724, 602, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 683, 933, 223
• GCD of 783, 427, 365, 484
• GCD of 315, 129, 474, 168
• GCD of 390, 387, 258, 526
• GCD of 187, 880, 891, 453

Given numbers are 189, 724, 602, 200
The greatest common divisor of numbers 189, 724, 602, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 724, 602, 200 is 1.

1. What is the GCD of 189, 724, 602, 200?

GCD of given numbers 189, 724, 602, 200 is 1

2. How to calculate the greatest common divisor of 189, 724, 602, 200?

We can find the highest common divisor of 189, 724, 602, 200 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, 724, 602, 200 i.e 1.

3. How can I use the GCD of 189, 724, 602, 200Calculator?

Out the numbers 189, 724, 602, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.