GCD of 500, 821, 994 Calculator

Given Input numbers are 500, 821, 994

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 821 :

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

1, 821

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (500, 821, 994) = 1.

Given numbers are 500, 821, 994

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 821 are 821

Prime factors of 994 are 2 x 7 x 71

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

Given numbers are 500, 821, 994

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

Apply this formula for all numbers.

Step1:

LCM(500, 821) = 410500

GCD(500, 821) = ( 500 x 821 ) / 410500

= 500 / 821

= 500

Step2:

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

= 1 / 994

= 1

So, Greatest Common Divisor of 500, 821, 994 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 575, 452
• GCD of 937, 930, 107
• GCD of 716, 891, 761
• GCD of 897, 445, 196
• GCD of 380, 587, 962

Given numbers are 500, 821, 994
The greatest common divisor of numbers 500, 821, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 821, 994 is 1.

1. What is the GCD of 500, 821, 994?

GCD of given numbers 500, 821, 994 is 1

2. How to calculate the greatest common divisor of 500, 821, 994?

We can find the highest common divisor of 500, 821, 994 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, 821, 994 i.e 1.

3. How can I use the GCD of 500, 821, 994Calculator?

Out the numbers 500, 821, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.