GCD of 118, 586, 841, 358 Calculator

Given Input numbers are 118, 586, 841, 358

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

Divisors of 118

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

1, 2, 59, 118

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 118, 586, 841, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 586, 841, 358 is 1.

Therefore, GCD of numbers 118, 586, 841, 358 is 1

Given Input Data is 118, 586, 841, 358

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 586 is 2 x 293

Prime Factorization of 841 is 29 x 29

Prime Factorization of 358 is 2 x 179

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(118, 586) = 34574

GCD(118, 586) = ( 118 x 586 ) / 34574

GCD(118, 586) = 69148 / 34574

GCD(118, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 841

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

LCM(2, 841) = 1682

GCD(2, 841) = ( 2 x 841 ) / 1682

GCD(2, 841) = 1682 / 1682

GCD(2, 841) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 118, 586, 841, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 116, 965, 945
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• GCD of 577, 631, 359, 227
• GCD of 849, 515, 530, 843

1. What is the GCD of 118, 586, 841, 358?

GCD of 118, 586, 841, 358 is 1

2. Where do I get the detailed procedure to find GCD of 118, 586, 841, 358?

You can find a detailed procedure to find GCD of 118, 586, 841, 358 on our page.

3. How to find GCD of 118, 586, 841, 358 on a calculator?

You can find the GCD of 118, 586, 841, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.