GCD of 590, 935, 554, 118 Calculator

Given Input numbers are 590, 935, 554, 118

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 590, 935, 554, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 935, 554, 118 is 1.

Therefore, GCD of numbers 590, 935, 554, 118 is 1

Given Input Data is 590, 935, 554, 118

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 554 is 2 x 277

Prime Factorization of 118 is 2 x 59

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(590, 935) = 110330

GCD(590, 935) = ( 590 x 935 ) / 110330

GCD(590, 935) = 551650 / 110330

GCD(590, 935) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 554

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

LCM(5, 554) = 2770

GCD(5, 554) = ( 5 x 554 ) / 2770

GCD(5, 554) = 2770 / 2770

GCD(5, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 590, 935, 554, 118 is 1

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1. What is the GCD of 590, 935, 554, 118?

GCD of 590, 935, 554, 118 is 1

2. Where do I get the detailed procedure to find GCD of 590, 935, 554, 118?

You can find a detailed procedure to find GCD of 590, 935, 554, 118 on our page.

3. How to find GCD of 590, 935, 554, 118 on a calculator?

You can find the GCD of 590, 935, 554, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.