GCD of 624, 470, 716, 723 Calculator

Given Input numbers are 624, 470, 716, 723

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 470 :

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

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 723 :

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

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (624, 470, 716, 723) = 1.

Given numbers are 624, 470, 716, 723

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 470 are 2 x 5 x 47

Prime factors of 716 are 2 x 2 x 179

Prime factors of 723 are 3 x 241

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

Given numbers are 624, 470, 716, 723

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

Apply this formula for all numbers.

Step1:

LCM(624, 470) = 146640

GCD(624, 470) = ( 624 x 470 ) / 146640

= 624 / 470

= 624

Step2:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

Step3:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2

So, Greatest Common Divisor of 624, 470, 716, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 699, 230, 721
• GCD of 223, 565, 470, 874
• GCD of 784, 773, 596, 228
• GCD of 201, 638, 192, 372
• GCD of 848, 611, 826, 812

Given numbers are 624, 470, 716, 723
The greatest common divisor of numbers 624, 470, 716, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 470, 716, 723 is 1.

1. What is the GCD of 624, 470, 716, 723?

GCD of given numbers 624, 470, 716, 723 is 1

2. How to calculate the greatest common divisor of 624, 470, 716, 723?

We can find the highest common divisor of 624, 470, 716, 723 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 624, 470, 716, 723 i.e 1.

3. How can I use the GCD of 624, 470, 716, 723Calculator?

Out the numbers 624, 470, 716, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.