GCD of 559, 274, 504, 661 Calculator

Given Input numbers are 559, 274, 504, 661

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

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

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 559, 274, 504, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 274, 504, 661 is 1.

Therefore, GCD of numbers 559, 274, 504, 661 is 1

Given Input Data is 559, 274, 504, 661

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 274 is 2 x 137

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 661 is 661

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(559, 274) = 153166

GCD(559, 274) = ( 559 x 274 ) / 153166

GCD(559, 274) = 153166 / 153166

GCD(559, 274) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 559, 274, 504, 661 is 1

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1. What is the GCD of 559, 274, 504, 661?

GCD of 559, 274, 504, 661 is 1

2. Where do I get the detailed procedure to find GCD of 559, 274, 504, 661?

You can find a detailed procedure to find GCD of 559, 274, 504, 661 on our page.

3. How to find GCD of 559, 274, 504, 661 on a calculator?

You can find the GCD of 559, 274, 504, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.