GCD of 583, 297, 61, 760 Calculator

Given Input numbers are 583, 297, 61, 760

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

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 583, 297, 61, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 583, 297, 61, 760 is 1.

Therefore, GCD of numbers 583, 297, 61, 760 is 1

Given Input Data is 583, 297, 61, 760

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

Prime Factorization of 583 is 11 x 53

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 61 is 61

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(583, 297) = 15741

GCD(583, 297) = ( 583 x 297 ) / 15741

GCD(583, 297) = 173151 / 15741

GCD(583, 297) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 61

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

LCM(11, 61) = 671

GCD(11, 61) = ( 11 x 61 ) / 671

GCD(11, 61) = 671 / 671

GCD(11, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 583, 297, 61, 760 is 1

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1. What is the GCD of 583, 297, 61, 760?

GCD of 583, 297, 61, 760 is 1

2. Where do I get the detailed procedure to find GCD of 583, 297, 61, 760?

You can find a detailed procedure to find GCD of 583, 297, 61, 760 on our page.

3. How to find GCD of 583, 297, 61, 760 on a calculator?

You can find the GCD of 583, 297, 61, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.