GCD of 592, 552, 674, 501 Calculator

Given Input numbers are 592, 552, 674, 501

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 674

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

1, 2, 337, 674

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 592, 552, 674, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 552, 674, 501 is 1.

Therefore, GCD of numbers 592, 552, 674, 501 is 1

Given Input Data is 592, 552, 674, 501

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 674 is 2 x 337

Prime Factorization of 501 is 3 x 167

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(592, 552) = 40848

GCD(592, 552) = ( 592 x 552 ) / 40848

GCD(592, 552) = 326784 / 40848

GCD(592, 552) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 674

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

LCM(8, 674) = 2696

GCD(8, 674) = ( 8 x 674 ) / 2696

GCD(8, 674) = 5392 / 2696

GCD(8, 674) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 501

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

LCM(2, 501) = 1002

GCD(2, 501) = ( 2 x 501 ) / 1002

GCD(2, 501) = 1002 / 1002

GCD(2, 501) = 1

GCD of 592, 552, 674, 501 is 1

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1. What is the GCD of 592, 552, 674, 501?

GCD of 592, 552, 674, 501 is 1

2. Where do I get the detailed procedure to find GCD of 592, 552, 674, 501?

You can find a detailed procedure to find GCD of 592, 552, 674, 501 on our page.

3. How to find GCD of 592, 552, 674, 501 on a calculator?

You can find the GCD of 592, 552, 674, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.