GCD of 225, 976, 367, 214 Calculator

Given Input numbers are 225, 976, 367, 214

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

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 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (225, 976, 367, 214) = 1.

Given numbers are 225, 976, 367, 214

The list of prime factors of all numbers are

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

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 367 are 367

Prime factors of 214 are 2 x 107

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

Given numbers are 225, 976, 367, 214

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

Apply this formula for all numbers.

Step1:

LCM(225, 976) = 219600

GCD(225, 976) = ( 225 x 976 ) / 219600

= 225 / 976

= 225

Step2:

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

= 1 / 367

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 225, 976, 367, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 924, 663, 747
• GCD of 258, 200, 344, 305
• GCD of 585, 681, 408, 342
• GCD of 274, 957, 899, 849
• GCD of 955, 455, 848, 478

Given numbers are 225, 976, 367, 214
The greatest common divisor of numbers 225, 976, 367, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 976, 367, 214 is 1.

1. What is the GCD of 225, 976, 367, 214?

GCD of given numbers 225, 976, 367, 214 is 1

2. How to calculate the greatest common divisor of 225, 976, 367, 214?

We can find the highest common divisor of 225, 976, 367, 214 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 225, 976, 367, 214 i.e 1.

3. How can I use the GCD of 225, 976, 367, 214Calculator?

Out the numbers 225, 976, 367, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.