GCD of 724, 764, 723, 685 Calculator

Given Input numbers are 724, 764, 723, 685

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

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

GCD of numbers is the greatest common divisor

So, the GCD (724, 764, 723, 685) = 1.

Given numbers are 724, 764, 723, 685

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 764 are 2 x 2 x 191

Prime factors of 723 are 3 x 241

Prime factors of 685 are 5 x 137

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

Given numbers are 724, 764, 723, 685

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

Apply this formula for all numbers.

Step1:

LCM(724, 764) = 138284

GCD(724, 764) = ( 724 x 764 ) / 138284

= 724 / 764

= 724

Step2:

LCM(4, 723) = 2892

GCD(4, 723) = ( 4 x 723 ) / 2892

= 4 / 723

= 4

Step3:

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

= 1 / 685

= 1

So, Greatest Common Divisor of 724, 764, 723, 685 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 631, 586, 201
• GCD of 252, 613, 773, 979
• GCD of 500, 858, 665, 946
• GCD of 726, 546, 141, 216
• GCD of 344, 909, 199, 721

Given numbers are 724, 764, 723, 685
The greatest common divisor of numbers 724, 764, 723, 685 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 764, 723, 685 is 1.

1. What is the GCD of 724, 764, 723, 685?

GCD of given numbers 724, 764, 723, 685 is 1

2. How to calculate the greatest common divisor of 724, 764, 723, 685?

We can find the highest common divisor of 724, 764, 723, 685 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 724, 764, 723, 685 i.e 1.

3. How can I use the GCD of 724, 764, 723, 685Calculator?

Out the numbers 724, 764, 723, 685 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.