GCD of 661, 473, 59, 553 Calculator

Given Input numbers are 661, 473, 59, 553

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

Divisors of 661

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

1, 661

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 553

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

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 661, 473, 59, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 473, 59, 553 is 1.

Therefore, GCD of numbers 661, 473, 59, 553 is 1

Given Input Data is 661, 473, 59, 553

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

Prime Factorization of 661 is 661

Prime Factorization of 473 is 11 x 43

Prime Factorization of 59 is 59

Prime Factorization of 553 is 7 x 79

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(661, 473) = 312653

GCD(661, 473) = ( 661 x 473 ) / 312653

GCD(661, 473) = 312653 / 312653

GCD(661, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 661, 473, 59, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 386, 45, 271
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• GCD of 301, 441, 31, 264

1. What is the GCD of 661, 473, 59, 553?

GCD of 661, 473, 59, 553 is 1

2. Where do I get the detailed procedure to find GCD of 661, 473, 59, 553?

You can find a detailed procedure to find GCD of 661, 473, 59, 553 on our page.

3. How to find GCD of 661, 473, 59, 553 on a calculator?

You can find the GCD of 661, 473, 59, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.