GCD of 12, 171, 766, 952 Calculator

Given Input numbers are 12, 171, 766, 952

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 12, 171, 766, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 171, 766, 952 is 1.

Therefore, GCD of numbers 12, 171, 766, 952 is 1

Given Input Data is 12, 171, 766, 952

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 766 is 2 x 383

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(12, 171) = 684

GCD(12, 171) = ( 12 x 171 ) / 684

GCD(12, 171) = 2052 / 684

GCD(12, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 766

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

LCM(3, 766) = 2298

GCD(3, 766) = ( 3 x 766 ) / 2298

GCD(3, 766) = 2298 / 2298

GCD(3, 766) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 12, 171, 766, 952 is 1

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• GCD of 40, 428, 792, 146
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1. What is the GCD of 12, 171, 766, 952?

GCD of 12, 171, 766, 952 is 1

2. Where do I get the detailed procedure to find GCD of 12, 171, 766, 952?

You can find a detailed procedure to find GCD of 12, 171, 766, 952 on our page.

3. How to find GCD of 12, 171, 766, 952 on a calculator?

You can find the GCD of 12, 171, 766, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.