GCD of 820, 966, 410, 500 Calculator

Given Input numbers are 820, 966, 410, 500

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

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

GCD of numbers is the greatest common divisor

So, the GCD (820, 966, 410, 500) = 2.

Given numbers are 820, 966, 410, 500

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 410 are 2 x 5 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 820, 966, 410, 500 is 2.

Given numbers are 820, 966, 410, 500

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

Apply this formula for all numbers.

Step1:

LCM(820, 966) = 396060

GCD(820, 966) = ( 820 x 966 ) / 396060

= 820 / 966

= 820

Step2:

LCM(2, 410) = 410

GCD(2, 410) = ( 2 x 410 ) / 410

= 2 / 410

= 2

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 820, 966, 410, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 334, 643, 696
• GCD of 718, 643, 147, 542
• GCD of 283, 505, 354, 335
• GCD of 565, 662, 156, 995
• GCD of 517, 271, 943, 506

Given numbers are 820, 966, 410, 500
The greatest common divisor of numbers 820, 966, 410, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 966, 410, 500 is 2.

1. What is the GCD of 820, 966, 410, 500?

GCD of given numbers 820, 966, 410, 500 is 2

2. How to calculate the greatest common divisor of 820, 966, 410, 500?

We can find the highest common divisor of 820, 966, 410, 500 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 820, 966, 410, 500 i.e 2.

3. How can I use the GCD of 820, 966, 410, 500Calculator?

Out the numbers 820, 966, 410, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.