GCD of 724, 714, 393, 960 Calculator

Given Input numbers are 724, 714, 393, 960

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (724, 714, 393, 960) = 1.

Given numbers are 724, 714, 393, 960

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 393 are 3 x 131

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 724, 714, 393, 960

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

Apply this formula for all numbers.

Step1:

LCM(724, 714) = 258468

GCD(724, 714) = ( 724 x 714 ) / 258468

= 724 / 714

= 724

Step2:

LCM(2, 393) = 786

GCD(2, 393) = ( 2 x 393 ) / 786

= 2 / 393

= 2

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 724, 714, 393, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 351, 916, 835
• GCD of 603, 829, 471, 179
• GCD of 708, 481, 748, 785
• GCD of 205, 131, 414, 674
• GCD of 608, 259, 658, 801

Given numbers are 724, 714, 393, 960
The greatest common divisor of numbers 724, 714, 393, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 714, 393, 960 is 1.

1. What is the GCD of 724, 714, 393, 960?

GCD of given numbers 724, 714, 393, 960 is 1

2. How to calculate the greatest common divisor of 724, 714, 393, 960?

We can find the highest common divisor of 724, 714, 393, 960 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, 714, 393, 960 i.e 1.

3. How can I use the GCD of 724, 714, 393, 960Calculator?

Out the numbers 724, 714, 393, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.