GCD of 106, 956, 25, 690 Calculator

Given Input numbers are 106, 956, 25, 690

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 106, 956, 25, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 956, 25, 690 is 1.

Therefore, GCD of numbers 106, 956, 25, 690 is 1

Given Input Data is 106, 956, 25, 690

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 25 is 5 x 5

Prime Factorization of 690 is 2 x 3 x 5 x 23

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, 956) = 50668

GCD(106, 956) = ( 106 x 956 ) / 50668

GCD(106, 956) = 101336 / 50668

GCD(106, 956) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 106, 956, 25, 690 is 1

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1. What is the GCD of 106, 956, 25, 690?

GCD of 106, 956, 25, 690 is 1

2. Where do I get the detailed procedure to find GCD of 106, 956, 25, 690?

You can find a detailed procedure to find GCD of 106, 956, 25, 690 on our page.

3. How to find GCD of 106, 956, 25, 690 on a calculator?

You can find the GCD of 106, 956, 25, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.