GCD of 969, 572, 49, 829 Calculator

Given Input numbers are 969, 572, 49, 829

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 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 969, 572, 49, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 572, 49, 829 is 1.

Therefore, GCD of numbers 969, 572, 49, 829 is 1

Given Input Data is 969, 572, 49, 829

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 572 is 2 x 2 x 11 x 13

Prime Factorization of 49 is 7 x 7

Prime Factorization of 829 is 829

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, 572) = 554268

GCD(969, 572) = ( 969 x 572 ) / 554268

GCD(969, 572) = 554268 / 554268

GCD(969, 572) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 969, 572, 49, 829 is 1

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1. What is the GCD of 969, 572, 49, 829?

GCD of 969, 572, 49, 829 is 1

2. Where do I get the detailed procedure to find GCD of 969, 572, 49, 829?

You can find a detailed procedure to find GCD of 969, 572, 49, 829 on our page.

3. How to find GCD of 969, 572, 49, 829 on a calculator?

You can find the GCD of 969, 572, 49, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.