GCD of 293, 687, 59, 118 Calculator

Given Input numbers are 293, 687, 59, 118

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

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 59

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

1, 59

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 293, 687, 59, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 293, 687, 59, 118 is 1.

Therefore, GCD of numbers 293, 687, 59, 118 is 1

Given Input Data is 293, 687, 59, 118

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

Prime Factorization of 293 is 293

Prime Factorization of 687 is 3 x 229

Prime Factorization of 59 is 59

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(293, 687) = 201291

GCD(293, 687) = ( 293 x 687 ) / 201291

GCD(293, 687) = 201291 / 201291

GCD(293, 687) = 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 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 293, 687, 59, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 726, 83, 854
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1. What is the GCD of 293, 687, 59, 118?

GCD of 293, 687, 59, 118 is 1

2. Where do I get the detailed procedure to find GCD of 293, 687, 59, 118?

You can find a detailed procedure to find GCD of 293, 687, 59, 118 on our page.

3. How to find GCD of 293, 687, 59, 118 on a calculator?

You can find the GCD of 293, 687, 59, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.