GCD of 822, 123, 687 Calculator

Given Input numbers are 822, 123, 687

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 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (822, 123, 687) = 3.

Given numbers are 822, 123, 687

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 123 are 3 x 41

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 822, 123, 687 is 3.

Given numbers are 822, 123, 687

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

Apply this formula for all numbers.

Step1:

LCM(822, 123) = 33702

GCD(822, 123) = ( 822 x 123 ) / 33702

= 822 / 123

= 822

Step2:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 822, 123, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 689, 652
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Given numbers are 822, 123, 687
The greatest common divisor of numbers 822, 123, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 123, 687 is 3.

1. What is the GCD of 822, 123, 687?

GCD of given numbers 822, 123, 687 is 3

2. How to calculate the greatest common divisor of 822, 123, 687?

We can find the highest common divisor of 822, 123, 687 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, 123, 687 i.e 3.

3. How can I use the GCD of 822, 123, 687Calculator?

Out the numbers 822, 123, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.