GCD of 969, 646, 20, 578 Calculator

Given Input numbers are 969, 646, 20, 578

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

Divisors of 969

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

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 969, 646, 20, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 646, 20, 578 is 1.

Therefore, GCD of numbers 969, 646, 20, 578 is 1

Given Input Data is 969, 646, 20, 578

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 578 is 2 x 17 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(969, 646) = 1938

GCD(969, 646) = ( 969 x 646 ) / 1938

GCD(969, 646) = 625974 / 1938

GCD(969, 646) = 323

Step2:

Here we consider the GCD from the above i.e. 323 as first number and the next as 20

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

LCM(323, 20) = 6460

GCD(323, 20) = ( 323 x 20 ) / 6460

GCD(323, 20) = 6460 / 6460

GCD(323, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 969, 646, 20, 578 is 1

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1. What is the GCD of 969, 646, 20, 578?

GCD of 969, 646, 20, 578 is 1

2. Where do I get the detailed procedure to find GCD of 969, 646, 20, 578?

You can find a detailed procedure to find GCD of 969, 646, 20, 578 on our page.

3. How to find GCD of 969, 646, 20, 578 on a calculator?

You can find the GCD of 969, 646, 20, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.