GCD of 725, 214, 432, 361 Calculator

Given Input numbers are 725, 214, 432, 361

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (725, 214, 432, 361) = 1.

Given numbers are 725, 214, 432, 361

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 214 are 2 x 107

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 361 are 19 x 19

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

Given numbers are 725, 214, 432, 361

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

Apply this formula for all numbers.

Step1:

LCM(725, 214) = 155150

GCD(725, 214) = ( 725 x 214 ) / 155150

= 725 / 214

= 725

Step2:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 725, 214, 432, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 339, 860, 844
• GCD of 757, 340, 899, 704
• GCD of 537, 787, 720, 178
• GCD of 148, 727, 290, 886
• GCD of 636, 453, 459, 145

Given numbers are 725, 214, 432, 361
The greatest common divisor of numbers 725, 214, 432, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 214, 432, 361 is 1.

1. What is the GCD of 725, 214, 432, 361?

GCD of given numbers 725, 214, 432, 361 is 1

2. How to calculate the greatest common divisor of 725, 214, 432, 361?

We can find the highest common divisor of 725, 214, 432, 361 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 725, 214, 432, 361 i.e 1.

3. How can I use the GCD of 725, 214, 432, 361Calculator?

Out the numbers 725, 214, 432, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.