GCD of 522, 755, 75, 674 Calculator

Given Input numbers are 522, 755, 75, 674

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 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 522, 755, 75, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 755, 75, 674 is 1.

Therefore, GCD of numbers 522, 755, 75, 674 is 1

Given Input Data is 522, 755, 75, 674

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 755 is 5 x 151

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 674 is 2 x 337

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, 755) = 394110

GCD(522, 755) = ( 522 x 755 ) / 394110

GCD(522, 755) = 394110 / 394110

GCD(522, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 522, 755, 75, 674 is 1

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1. What is the GCD of 522, 755, 75, 674?

GCD of 522, 755, 75, 674 is 1

2. Where do I get the detailed procedure to find GCD of 522, 755, 75, 674?

You can find a detailed procedure to find GCD of 522, 755, 75, 674 on our page.

3. How to find GCD of 522, 755, 75, 674 on a calculator?

You can find the GCD of 522, 755, 75, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.