GCD of 996, 686, 364, 723 Calculator

Given Input numbers are 996, 686, 364, 723

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 (996, 686, 364, 723) = 1.

Given numbers are 996, 686, 364, 723

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 364 are 2 x 2 x 7 x 13

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 996, 686, 364, 723

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

Apply this formula for all numbers.

Step1:

LCM(996, 686) = 341628

GCD(996, 686) = ( 996 x 686 ) / 341628

= 996 / 686

= 996

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 723) = 1446

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

= 2 / 723

= 2

So, Greatest Common Divisor of 996, 686, 364, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 881, 761, 751
• GCD of 458, 484, 906, 327
• GCD of 950, 421, 594, 579
• GCD of 784, 907, 274, 657
• GCD of 680, 818, 926, 363

Given numbers are 996, 686, 364, 723
The greatest common divisor of numbers 996, 686, 364, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 686, 364, 723 is 1.

1. What is the GCD of 996, 686, 364, 723?

GCD of given numbers 996, 686, 364, 723 is 1

2. How to calculate the greatest common divisor of 996, 686, 364, 723?

We can find the highest common divisor of 996, 686, 364, 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 996, 686, 364, 723 i.e 1.

3. How can I use the GCD of 996, 686, 364, 723Calculator?

Out the numbers 996, 686, 364, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.