GCD of 723, 628, 470, 724 Calculator

Given Input numbers are 723, 628, 470, 724

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (723, 628, 470, 724) = 1.

Given numbers are 723, 628, 470, 724

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 628 are 2 x 2 x 157

Prime factors of 470 are 2 x 5 x 47

Prime factors of 724 are 2 x 2 x 181

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

Given numbers are 723, 628, 470, 724

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

Apply this formula for all numbers.

Step1:

LCM(723, 628) = 454044

GCD(723, 628) = ( 723 x 628 ) / 454044

= 723 / 628

= 723

Step2:

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

= 1 / 470

= 1

Step3:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

So, Greatest Common Divisor of 723, 628, 470, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 396, 908, 929
• GCD of 318, 749, 251, 579
• GCD of 202, 188, 114, 965
• GCD of 405, 627, 321, 596
• GCD of 439, 224, 187, 697

Given numbers are 723, 628, 470, 724
The greatest common divisor of numbers 723, 628, 470, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 628, 470, 724 is 1.

1. What is the GCD of 723, 628, 470, 724?

GCD of given numbers 723, 628, 470, 724 is 1

2. How to calculate the greatest common divisor of 723, 628, 470, 724?

We can find the highest common divisor of 723, 628, 470, 724 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, 628, 470, 724 i.e 1.

3. How can I use the GCD of 723, 628, 470, 724Calculator?

Out the numbers 723, 628, 470, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.