GCD of 380, 723, 525, 225 Calculator

Given Input numbers are 380, 723, 525, 225

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 225 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (380, 723, 525, 225) = 1.

Given numbers are 380, 723, 525, 225

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 723 are 3 x 241

Prime factors of 525 are 3 x 5 x 5 x 7

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

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

Given numbers are 380, 723, 525, 225

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

Apply this formula for all numbers.

Step1:

LCM(380, 723) = 274740

GCD(380, 723) = ( 380 x 723 ) / 274740

= 380 / 723

= 380

Step2:

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

= 1 / 525

= 1

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 380, 723, 525, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 364, 730, 617
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• GCD of 859, 534, 128, 915

Given numbers are 380, 723, 525, 225
The greatest common divisor of numbers 380, 723, 525, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 723, 525, 225 is 1.

1. What is the GCD of 380, 723, 525, 225?

GCD of given numbers 380, 723, 525, 225 is 1

2. How to calculate the greatest common divisor of 380, 723, 525, 225?

We can find the highest common divisor of 380, 723, 525, 225 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 380, 723, 525, 225 i.e 1.

3. How can I use the GCD of 380, 723, 525, 225Calculator?

Out the numbers 380, 723, 525, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.