GCD of 225, 428, 617, 414 Calculator

Given Input numbers are 225, 428, 617, 414

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (225, 428, 617, 414) = 1.

Given numbers are 225, 428, 617, 414

The list of prime factors of all numbers are

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

Prime factors of 428 are 2 x 2 x 107

Prime factors of 617 are 617

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 225, 428, 617, 414

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

Apply this formula for all numbers.

Step1:

LCM(225, 428) = 96300

GCD(225, 428) = ( 225 x 428 ) / 96300

= 225 / 428

= 225

Step2:

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

= 1 / 617

= 1

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 225, 428, 617, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 156, 198, 695
• GCD of 814, 904, 646, 851
• GCD of 916, 574, 715, 551
• GCD of 900, 983, 117, 983
• GCD of 611, 695, 532, 274

Given numbers are 225, 428, 617, 414
The greatest common divisor of numbers 225, 428, 617, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 428, 617, 414 is 1.

1. What is the GCD of 225, 428, 617, 414?

GCD of given numbers 225, 428, 617, 414 is 1

2. How to calculate the greatest common divisor of 225, 428, 617, 414?

We can find the highest common divisor of 225, 428, 617, 414 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, 428, 617, 414 i.e 1.

3. How can I use the GCD of 225, 428, 617, 414Calculator?

Out the numbers 225, 428, 617, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.