GCD of 983, 803, 728, 825 Calculator

Given Input numbers are 983, 803, 728, 825

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 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (983, 803, 728, 825) = 1.

Given numbers are 983, 803, 728, 825

The list of prime factors of all numbers are

Prime factors of 983 are 983

Prime factors of 803 are 11 x 73

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 983, 803, 728, 825

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

Apply this formula for all numbers.

Step1:

LCM(983, 803) = 789349

GCD(983, 803) = ( 983 x 803 ) / 789349

= 983 / 803

= 983

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 983, 803, 728, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 928, 601, 552
• GCD of 403, 807, 418, 941
• GCD of 654, 851, 138, 619
• GCD of 440, 772, 584, 119
• GCD of 646, 278, 485, 149

Given numbers are 983, 803, 728, 825
The greatest common divisor of numbers 983, 803, 728, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 983, 803, 728, 825 is 1.

1. What is the GCD of 983, 803, 728, 825?

GCD of given numbers 983, 803, 728, 825 is 1

2. How to calculate the greatest common divisor of 983, 803, 728, 825?

We can find the highest common divisor of 983, 803, 728, 825 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, 803, 728, 825 i.e 1.

3. How can I use the GCD of 983, 803, 728, 825Calculator?

Out the numbers 983, 803, 728, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.