GCD of 862, 382, 469, 108 Calculator

Given Input numbers are 862, 382, 469, 108

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 862, 382, 469, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 382, 469, 108 is 1.

Therefore, GCD of numbers 862, 382, 469, 108 is 1

Given Input Data is 862, 382, 469, 108

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 862 is 2 x 431

Prime Factorization of 382 is 2 x 191

Prime Factorization of 469 is 7 x 67

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(862, 382) = 164642

GCD(862, 382) = ( 862 x 382 ) / 164642

GCD(862, 382) = 329284 / 164642

GCD(862, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 469

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

LCM(2, 469) = 938

GCD(2, 469) = ( 2 x 469 ) / 938

GCD(2, 469) = 938 / 938

GCD(2, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 862, 382, 469, 108 is 1

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1. What is the GCD of 862, 382, 469, 108?

GCD of 862, 382, 469, 108 is 1

2. Where do I get the detailed procedure to find GCD of 862, 382, 469, 108?

You can find a detailed procedure to find GCD of 862, 382, 469, 108 on our page.

3. How to find GCD of 862, 382, 469, 108 on a calculator?

You can find the GCD of 862, 382, 469, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.