GCD of 552, 954, 866, 969 Calculator

Given Input numbers are 552, 954, 866, 969

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 552, 954, 866, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 954, 866, 969 is 1.

Therefore, GCD of numbers 552, 954, 866, 969 is 1

Given Input Data is 552, 954, 866, 969

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 866 is 2 x 433

Prime Factorization of 969 is 3 x 17 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(552, 954) = 87768

GCD(552, 954) = ( 552 x 954 ) / 87768

GCD(552, 954) = 526608 / 87768

GCD(552, 954) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 866

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

LCM(6, 866) = 2598

GCD(6, 866) = ( 6 x 866 ) / 2598

GCD(6, 866) = 5196 / 2598

GCD(6, 866) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 969

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

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

GCD(2, 969) = 1938 / 1938

GCD(2, 969) = 1

GCD of 552, 954, 866, 969 is 1

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1. What is the GCD of 552, 954, 866, 969?

GCD of 552, 954, 866, 969 is 1

2. Where do I get the detailed procedure to find GCD of 552, 954, 866, 969?

You can find a detailed procedure to find GCD of 552, 954, 866, 969 on our page.

3. How to find GCD of 552, 954, 866, 969 on a calculator?

You can find the GCD of 552, 954, 866, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.