GCD of 69, 266, 859, 171 Calculator

Given Input numbers are 69, 266, 859, 171

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 69, 266, 859, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 266, 859, 171 is 1.

Therefore, GCD of numbers 69, 266, 859, 171 is 1

Given Input Data is 69, 266, 859, 171

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 859 is 859

Prime Factorization of 171 is 3 x 3 x 19

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(69, 266) = 18354

GCD(69, 266) = ( 69 x 266 ) / 18354

GCD(69, 266) = 18354 / 18354

GCD(69, 266) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 69, 266, 859, 171 is 1

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1. What is the GCD of 69, 266, 859, 171?

GCD of 69, 266, 859, 171 is 1

2. Where do I get the detailed procedure to find GCD of 69, 266, 859, 171?

You can find a detailed procedure to find GCD of 69, 266, 859, 171 on our page.

3. How to find GCD of 69, 266, 859, 171 on a calculator?

You can find the GCD of 69, 266, 859, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.