GCD of 118, 538, 41, 870 Calculator

Given Input numbers are 118, 538, 41, 870

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 118, 538, 41, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 538, 41, 870 is 1.

Therefore, GCD of numbers 118, 538, 41, 870 is 1

Given Input Data is 118, 538, 41, 870

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 538 is 2 x 269

Prime Factorization of 41 is 41

Prime Factorization of 870 is 2 x 3 x 5 x 29

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, 538) = 31742

GCD(118, 538) = ( 118 x 538 ) / 31742

GCD(118, 538) = 63484 / 31742

GCD(118, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 118, 538, 41, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 429, 97, 958
• GCD of 459, 714, 27, 748
• GCD of 350, 643, 27, 884
• GCD of 990, 777, 27, 734
• GCD of 277, 968, 22, 433

1. What is the GCD of 118, 538, 41, 870?

GCD of 118, 538, 41, 870 is 1

2. Where do I get the detailed procedure to find GCD of 118, 538, 41, 870?

You can find a detailed procedure to find GCD of 118, 538, 41, 870 on our page.

3. How to find GCD of 118, 538, 41, 870 on a calculator?

You can find the GCD of 118, 538, 41, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.