GCD of 49, 969, 730, 522 Calculator

Given Input numbers are 49, 969, 730, 522

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

Divisors of 49

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

1, 7, 49

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 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 49, 969, 730, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 969, 730, 522 is 1.

Therefore, GCD of numbers 49, 969, 730, 522 is 1

Given Input Data is 49, 969, 730, 522

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(49, 969) = 47481

GCD(49, 969) = ( 49 x 969 ) / 47481

GCD(49, 969) = 47481 / 47481

GCD(49, 969) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 49, 969, 730, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 521, 895, 462
• GCD of 73, 888, 989, 187
• GCD of 74, 651, 127, 505
• GCD of 42, 462, 775, 328
• GCD of 32, 806, 494, 870

1. What is the GCD of 49, 969, 730, 522?

GCD of 49, 969, 730, 522 is 1

2. Where do I get the detailed procedure to find GCD of 49, 969, 730, 522?

You can find a detailed procedure to find GCD of 49, 969, 730, 522 on our page.

3. How to find GCD of 49, 969, 730, 522 on a calculator?

You can find the GCD of 49, 969, 730, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.