GCD of 292, 553, 37, 504 Calculator

Given Input numbers are 292, 553, 37, 504

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 292, 553, 37, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 553, 37, 504 is 1.

Therefore, GCD of numbers 292, 553, 37, 504 is 1

Given Input Data is 292, 553, 37, 504

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 553 is 7 x 79

Prime Factorization of 37 is 37

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 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(292, 553) = 161476

GCD(292, 553) = ( 292 x 553 ) / 161476

GCD(292, 553) = 161476 / 161476

GCD(292, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 292, 553, 37, 504 is 1

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1. What is the GCD of 292, 553, 37, 504?

GCD of 292, 553, 37, 504 is 1

2. Where do I get the detailed procedure to find GCD of 292, 553, 37, 504?

You can find a detailed procedure to find GCD of 292, 553, 37, 504 on our page.

3. How to find GCD of 292, 553, 37, 504 on a calculator?

You can find the GCD of 292, 553, 37, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.