GCD of 200, 126, 226, 189 Calculator

Given Input numbers are 200, 126, 226, 189

In the factoring method, we have to find the divisors of all numbers

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (200, 126, 226, 189) = 1.

Given numbers are 200, 126, 226, 189

The list of prime factors of all numbers are

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

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 226 are 2 x 113

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

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

Given numbers are 200, 126, 226, 189

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

Apply this formula for all numbers.

Step1:

LCM(200, 126) = 12600

GCD(200, 126) = ( 200 x 126 ) / 12600

= 200 / 126

= 200

Step2:

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

= 2 / 226

= 2

Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

So, Greatest Common Divisor of 200, 126, 226, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 345, 760, 873
• GCD of 782, 431, 868, 351
• GCD of 225, 732, 358, 426
• GCD of 322, 407, 740, 959
• GCD of 783, 438, 232, 777

Given numbers are 200, 126, 226, 189
The greatest common divisor of numbers 200, 126, 226, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 126, 226, 189 is 1.

1. What is the GCD of 200, 126, 226, 189?

GCD of given numbers 200, 126, 226, 189 is 1

2. How to calculate the greatest common divisor of 200, 126, 226, 189?

We can find the highest common divisor of 200, 126, 226, 189 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 200, 126, 226, 189 i.e 1.

3. How can I use the GCD of 200, 126, 226, 189Calculator?

Out the numbers 200, 126, 226, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.