GCD of 422, 109, 492, 816 Calculator

Given Input numbers are 422, 109, 492, 816

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 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

GCD of numbers is the greatest common divisor

So, the GCD (422, 109, 492, 816) = 1.

Given numbers are 422, 109, 492, 816

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 109 are 109

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

Given numbers are 422, 109, 492, 816

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

Apply this formula for all numbers.

Step1:

LCM(422, 109) = 45998

GCD(422, 109) = ( 422 x 109 ) / 45998

= 422 / 109

= 422

Step2:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

Step3:

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

= 1 / 816

= 1

So, Greatest Common Divisor of 422, 109, 492, 816 is 1

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Given numbers are 422, 109, 492, 816
The greatest common divisor of numbers 422, 109, 492, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 109, 492, 816 is 1.

1. What is the GCD of 422, 109, 492, 816?

GCD of given numbers 422, 109, 492, 816 is 1

2. How to calculate the greatest common divisor of 422, 109, 492, 816?

We can find the highest common divisor of 422, 109, 492, 816 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, 109, 492, 816 i.e 1.

3. How can I use the GCD of 422, 109, 492, 816Calculator?

Out the numbers 422, 109, 492, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.