GCD of 106, 782, 362, 951 Calculator

Given Input numbers are 106, 782, 362, 951

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Greatest Common Divisior

We found the divisors of 106, 782, 362, 951 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 782, 362, 951 is 1.

Therefore, GCD of numbers 106, 782, 362, 951 is 1

Given Input Data is 106, 782, 362, 951

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 362 is 2 x 181

Prime Factorization of 951 is 3 x 317

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(106, 782) = 41446

GCD(106, 782) = ( 106 x 782 ) / 41446

GCD(106, 782) = 82892 / 41446

GCD(106, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 951

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

LCM(2, 951) = 1902

GCD(2, 951) = ( 2 x 951 ) / 1902

GCD(2, 951) = 1902 / 1902

GCD(2, 951) = 1

GCD of 106, 782, 362, 951 is 1

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1. What is the GCD of 106, 782, 362, 951?

GCD of 106, 782, 362, 951 is 1

2. Where do I get the detailed procedure to find GCD of 106, 782, 362, 951?

You can find a detailed procedure to find GCD of 106, 782, 362, 951 on our page.

3. How to find GCD of 106, 782, 362, 951 on a calculator?

You can find the GCD of 106, 782, 362, 951 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.