GCD of 118, 544, 90, 856 Calculator

Given Input numbers are 118, 544, 90, 856

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 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 118, 544, 90, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 544, 90, 856 is 2.

Therefore, GCD of numbers 118, 544, 90, 856 is 2

Given Input Data is 118, 544, 90, 856

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 856 is 2 x 2 x 2 x 107

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 544) = 32096

GCD(118, 544) = ( 118 x 544 ) / 32096

GCD(118, 544) = 64192 / 32096

GCD(118, 544) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

GCD of 118, 544, 90, 856 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 496, 86, 530
• GCD of 892, 298, 93, 275
• GCD of 361, 389, 86, 557
• GCD of 912, 601, 27, 749
• GCD of 692, 863, 58, 190

1. What is the GCD of 118, 544, 90, 856?

GCD of 118, 544, 90, 856 is 2

2. Where do I get the detailed procedure to find GCD of 118, 544, 90, 856?

You can find a detailed procedure to find GCD of 118, 544, 90, 856 on our page.

3. How to find GCD of 118, 544, 90, 856 on a calculator?

You can find the GCD of 118, 544, 90, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.