GCD of 500, 697, 827, 821 Calculator

Given Input numbers are 500, 697, 827, 821

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 827 :

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

1, 827

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (500, 697, 827, 821) = 1.

Given numbers are 500, 697, 827, 821

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 697 are 17 x 41

Prime factors of 827 are 827

Prime factors of 821 are 821

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

Given numbers are 500, 697, 827, 821

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

Apply this formula for all numbers.

Step1:

LCM(500, 697) = 348500

GCD(500, 697) = ( 500 x 697 ) / 348500

= 500 / 697

= 500

Step2:

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

= 1 / 827

= 1

Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

So, Greatest Common Divisor of 500, 697, 827, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 499, 921, 406
• GCD of 182, 516, 580, 795
• GCD of 665, 323, 331, 568
• GCD of 325, 567, 391, 976
• GCD of 143, 309, 377, 128

Given numbers are 500, 697, 827, 821
The greatest common divisor of numbers 500, 697, 827, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 697, 827, 821 is 1.

1. What is the GCD of 500, 697, 827, 821?

GCD of given numbers 500, 697, 827, 821 is 1

2. How to calculate the greatest common divisor of 500, 697, 827, 821?

We can find the highest common divisor of 500, 697, 827, 821 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 500, 697, 827, 821 i.e 1.

3. How can I use the GCD of 500, 697, 827, 821Calculator?

Out the numbers 500, 697, 827, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.