GCD of 822, 500, 746 Calculator

Given Input numbers are 822, 500, 746

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

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 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (822, 500, 746) = 2.

Given numbers are 822, 500, 746

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

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

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 822, 500, 746 is 2.

Given numbers are 822, 500, 746

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

Apply this formula for all numbers.

Step1:

LCM(822, 500) = 205500

GCD(822, 500) = ( 822 x 500 ) / 205500

= 822 / 500

= 822

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 822, 500, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 814, 249
• GCD of 669, 426, 631
• GCD of 424, 780, 896
• GCD of 951, 996, 827
• GCD of 945, 809, 423

Given numbers are 822, 500, 746
The greatest common divisor of numbers 822, 500, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 500, 746 is 2.

1. What is the GCD of 822, 500, 746?

GCD of given numbers 822, 500, 746 is 2

2. How to calculate the greatest common divisor of 822, 500, 746?

We can find the highest common divisor of 822, 500, 746 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 822, 500, 746 i.e 2.

3. How can I use the GCD of 822, 500, 746Calculator?

Out the numbers 822, 500, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.