GCD of 827, 498, 983, 825 Calculator

Given Input numbers are 827, 498, 983, 825

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

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 983 :

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

1, 983

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 (827, 498, 983, 825) = 1.

Given numbers are 827, 498, 983, 825

The list of prime factors of all numbers are

Prime factors of 827 are 827

Prime factors of 498 are 2 x 3 x 83

Prime factors of 983 are 983

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 827, 498, 983, 825

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

Apply this formula for all numbers.

Step1:

LCM(827, 498) = 411846

GCD(827, 498) = ( 827 x 498 ) / 411846

= 827 / 498

= 827

Step2:

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

= 1 / 983

= 1

Step3:

LCM(1, 825) = 825

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

= 1 / 825

= 1

So, Greatest Common Divisor of 827, 498, 983, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 400, 223, 804
• GCD of 338, 316, 121, 483
• GCD of 329, 586, 454, 415
• GCD of 520, 604, 501, 711
• GCD of 808, 921, 452, 796

Given numbers are 827, 498, 983, 825
The greatest common divisor of numbers 827, 498, 983, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 498, 983, 825 is 1.

1. What is the GCD of 827, 498, 983, 825?

GCD of given numbers 827, 498, 983, 825 is 1

2. How to calculate the greatest common divisor of 827, 498, 983, 825?

We can find the highest common divisor of 827, 498, 983, 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 827, 498, 983, 825 i.e 1.

3. How can I use the GCD of 827, 498, 983, 825Calculator?

Out the numbers 827, 498, 983, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.