GCD of 364, 225, 460, 583 Calculator

Given Input numbers are 364, 225, 460, 583

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 583 :

The positive integer divisors of 583 that completely divides 583 are.

1, 11, 53, 583

GCD of numbers is the greatest common divisor

So, the GCD (364, 225, 460, 583) = 1.

Given numbers are 364, 225, 460, 583

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

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

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 583 are 11 x 53

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

Given numbers are 364, 225, 460, 583

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

Apply this formula for all numbers.

Step1:

LCM(364, 225) = 81900

GCD(364, 225) = ( 364 x 225 ) / 81900

= 364 / 225

= 364

Step2:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

Step3:

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

= 1 / 583

= 1

So, Greatest Common Divisor of 364, 225, 460, 583 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 377, 234, 209
• GCD of 688, 156, 681, 971
• GCD of 340, 475, 197, 668
• GCD of 220, 961, 881, 535
• GCD of 716, 201, 405, 443

Given numbers are 364, 225, 460, 583
The greatest common divisor of numbers 364, 225, 460, 583 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 225, 460, 583 is 1.

1. What is the GCD of 364, 225, 460, 583?

GCD of given numbers 364, 225, 460, 583 is 1

2. How to calculate the greatest common divisor of 364, 225, 460, 583?

We can find the highest common divisor of 364, 225, 460, 583 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 364, 225, 460, 583 i.e 1.

3. How can I use the GCD of 364, 225, 460, 583Calculator?

Out the numbers 364, 225, 460, 583 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.