GCD of 906, 676, 95, 107 Calculator

Given Input numbers are 906, 676, 95, 107

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 906, 676, 95, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 676, 95, 107 is 1.

Therefore, GCD of numbers 906, 676, 95, 107 is 1

Given Input Data is 906, 676, 95, 107

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 95 is 5 x 19

Prime Factorization of 107 is 107

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(906, 676) = 306228

GCD(906, 676) = ( 906 x 676 ) / 306228

GCD(906, 676) = 612456 / 306228

GCD(906, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

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

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 906, 676, 95, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 766, 36, 756
• GCD of 196, 153, 29, 729
• GCD of 765, 281, 35, 314
• GCD of 513, 557, 29, 584
• GCD of 229, 776, 35, 546

1. What is the GCD of 906, 676, 95, 107?

GCD of 906, 676, 95, 107 is 1

2. Where do I get the detailed procedure to find GCD of 906, 676, 95, 107?

You can find a detailed procedure to find GCD of 906, 676, 95, 107 on our page.

3. How to find GCD of 906, 676, 95, 107 on a calculator?

You can find the GCD of 906, 676, 95, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.