GCD of 422, 738, 862 Calculator

Given Input numbers are 422, 738, 862

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

GCD of numbers is the greatest common divisor

So, the GCD (422, 738, 862) = 2.

Given numbers are 422, 738, 862

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 862 are 2 x 431

The highest common occurrence is 2¹

Therefore, GCD of 422, 738, 862 is 2.

Given numbers are 422, 738, 862

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

Apply this formula for all numbers.

Step1:

LCM(422, 738) = 155718

GCD(422, 738) = ( 422 x 738 ) / 155718

= 422 / 738

= 422

Step2:

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

= 2 / 862

= 2

So, Greatest Common Divisor of 422, 738, 862 is 2

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Given numbers are 422, 738, 862
The greatest common divisor of numbers 422, 738, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 738, 862 is 2.

1. What is the GCD of 422, 738, 862?

GCD of given numbers 422, 738, 862 is 2

2. How to calculate the greatest common divisor of 422, 738, 862?

We can find the highest common divisor of 422, 738, 862 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 422, 738, 862 i.e 2.

3. How can I use the GCD of 422, 738, 862Calculator?

Out the numbers 422, 738, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.