GCD of 723, 586, 725, 400 Calculator

Given Input numbers are 723, 586, 725, 400

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

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (723, 586, 725, 400) = 1.

Given numbers are 723, 586, 725, 400

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 586 are 2 x 293

Prime factors of 725 are 5 x 5 x 29

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 723, 586, 725, 400

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

Apply this formula for all numbers.

Step1:

LCM(723, 586) = 423678

GCD(723, 586) = ( 723 x 586 ) / 423678

= 723 / 586

= 723

Step2:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 723, 586, 725, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 375, 531, 134
• GCD of 532, 473, 732, 443
• GCD of 814, 429, 113, 188
• GCD of 459, 478, 346, 479
• GCD of 693, 884, 566, 952

Given numbers are 723, 586, 725, 400
The greatest common divisor of numbers 723, 586, 725, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 586, 725, 400 is 1.

1. What is the GCD of 723, 586, 725, 400?

GCD of given numbers 723, 586, 725, 400 is 1

2. How to calculate the greatest common divisor of 723, 586, 725, 400?

We can find the highest common divisor of 723, 586, 725, 400 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 723, 586, 725, 400 i.e 1.

3. How can I use the GCD of 723, 586, 725, 400Calculator?

Out the numbers 723, 586, 725, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.