GCD of 266, 631, 748, 854 Calculator

Given Input numbers are 266, 631, 748, 854

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

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 266, 631, 748, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 631, 748, 854 is 1.

Therefore, GCD of numbers 266, 631, 748, 854 is 1

Given Input Data is 266, 631, 748, 854

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 631 is 631

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 854 is 2 x 7 x 61

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(266, 631) = 167846

GCD(266, 631) = ( 266 x 631 ) / 167846

GCD(266, 631) = 167846 / 167846

GCD(266, 631) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 266, 631, 748, 854 is 1

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1. What is the GCD of 266, 631, 748, 854?

GCD of 266, 631, 748, 854 is 1

2. Where do I get the detailed procedure to find GCD of 266, 631, 748, 854?

You can find a detailed procedure to find GCD of 266, 631, 748, 854 on our page.

3. How to find GCD of 266, 631, 748, 854 on a calculator?

You can find the GCD of 266, 631, 748, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.