GCD of 290, 753, 66, 969 Calculator

Given Input numbers are 290, 753, 66, 969

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 290, 753, 66, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 753, 66, 969 is 1.

Therefore, GCD of numbers 290, 753, 66, 969 is 1

Given Input Data is 290, 753, 66, 969

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 753 is 3 x 251

Prime Factorization of 66 is 2 x 3 x 11

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(290, 753) = 218370

GCD(290, 753) = ( 290 x 753 ) / 218370

GCD(290, 753) = 218370 / 218370

GCD(290, 753) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 290, 753, 66, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 825, 16, 819
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• GCD of 537, 657, 67, 520

1. What is the GCD of 290, 753, 66, 969?

GCD of 290, 753, 66, 969 is 1

2. Where do I get the detailed procedure to find GCD of 290, 753, 66, 969?

You can find a detailed procedure to find GCD of 290, 753, 66, 969 on our page.

3. How to find GCD of 290, 753, 66, 969 on a calculator?

You can find the GCD of 290, 753, 66, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.