GCD of 522, 657, 46, 145 Calculator

Given Input numbers are 522, 657, 46, 145

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

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 522, 657, 46, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 657, 46, 145 is 1.

Therefore, GCD of numbers 522, 657, 46, 145 is 1

Given Input Data is 522, 657, 46, 145

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

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 46 is 2 x 23

Prime Factorization of 145 is 5 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(522, 657) = 38106

GCD(522, 657) = ( 522 x 657 ) / 38106

GCD(522, 657) = 342954 / 38106

GCD(522, 657) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 46

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

LCM(9, 46) = 414

GCD(9, 46) = ( 9 x 46 ) / 414

GCD(9, 46) = 414 / 414

GCD(9, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 522, 657, 46, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 422, 61, 534
• GCD of 149, 216, 58, 604
• GCD of 183, 381, 85, 970
• GCD of 517, 133, 26, 674
• GCD of 604, 134, 45, 478

1. What is the GCD of 522, 657, 46, 145?

GCD of 522, 657, 46, 145 is 1

2. Where do I get the detailed procedure to find GCD of 522, 657, 46, 145?

You can find a detailed procedure to find GCD of 522, 657, 46, 145 on our page.

3. How to find GCD of 522, 657, 46, 145 on a calculator?

You can find the GCD of 522, 657, 46, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.