GCD of 206, 225, 149, 172 Calculator

Given Input numbers are 206, 225, 149, 172

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

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (206, 225, 149, 172) = 1.

Given numbers are 206, 225, 149, 172

The list of prime factors of all numbers are

Prime factors of 206 are 2 x 103

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 149 are 149

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 206, 225, 149, 172

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

Apply this formula for all numbers.

Step1:

LCM(206, 225) = 46350

GCD(206, 225) = ( 206 x 225 ) / 46350

= 206 / 225

= 206

Step2:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 206, 225, 149, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 931, 717, 124
• GCD of 604, 923, 626, 377
• GCD of 872, 236, 409, 965
• GCD of 767, 939, 942, 832
• GCD of 344, 251, 182, 529

Given numbers are 206, 225, 149, 172
The greatest common divisor of numbers 206, 225, 149, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 206, 225, 149, 172 is 1.

1. What is the GCD of 206, 225, 149, 172?

GCD of given numbers 206, 225, 149, 172 is 1

2. How to calculate the greatest common divisor of 206, 225, 149, 172?

We can find the highest common divisor of 206, 225, 149, 172 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 206, 225, 149, 172 i.e 1.

3. How can I use the GCD of 206, 225, 149, 172Calculator?

Out the numbers 206, 225, 149, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.