GCD of 969, 506, 49, 525 Calculator

Given Input numbers are 969, 506, 49, 525

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 49

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

1, 7, 49

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 969, 506, 49, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 506, 49, 525 is 1.

Therefore, GCD of numbers 969, 506, 49, 525 is 1

Given Input Data is 969, 506, 49, 525

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 506 is 2 x 11 x 23

Prime Factorization of 49 is 7 x 7

Prime Factorization of 525 is 3 x 5 x 5 x 7

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, 506) = 490314

GCD(969, 506) = ( 969 x 506 ) / 490314

GCD(969, 506) = 490314 / 490314

GCD(969, 506) = 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 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 969, 506, 49, 525 is 1

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1. What is the GCD of 969, 506, 49, 525?

GCD of 969, 506, 49, 525 is 1

2. Where do I get the detailed procedure to find GCD of 969, 506, 49, 525?

You can find a detailed procedure to find GCD of 969, 506, 49, 525 on our page.

3. How to find GCD of 969, 506, 49, 525 on a calculator?

You can find the GCD of 969, 506, 49, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.