GCD of 983, 723, 699, 822 Calculator

Given Input numbers are 983, 723, 699, 822

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

Divisors of 983 :

The positive integer divisors of 983 that completely divides 983 are.

1, 983

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (983, 723, 699, 822) = 1.

Given numbers are 983, 723, 699, 822

The list of prime factors of all numbers are

Prime factors of 983 are 983

Prime factors of 723 are 3 x 241

Prime factors of 699 are 3 x 233

Prime factors of 822 are 2 x 3 x 137

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

Given numbers are 983, 723, 699, 822

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

Apply this formula for all numbers.

Step1:

LCM(983, 723) = 710709

GCD(983, 723) = ( 983 x 723 ) / 710709

= 983 / 723

= 983

Step2:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1

Step3:

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

= 1 / 822

= 1

So, Greatest Common Divisor of 983, 723, 699, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 704, 608, 632
• GCD of 876, 745, 210, 548
• GCD of 567, 748, 354, 829
• GCD of 389, 741, 968, 495
• GCD of 739, 574, 332, 197

Given numbers are 983, 723, 699, 822
The greatest common divisor of numbers 983, 723, 699, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 983, 723, 699, 822 is 1.

1. What is the GCD of 983, 723, 699, 822?

GCD of given numbers 983, 723, 699, 822 is 1

2. How to calculate the greatest common divisor of 983, 723, 699, 822?

We can find the highest common divisor of 983, 723, 699, 822 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 983, 723, 699, 822 i.e 1.

3. How can I use the GCD of 983, 723, 699, 822Calculator?

Out the numbers 983, 723, 699, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.