GCD of 36, 886, 954, 434 Calculator

Given Input numbers are 36, 886, 954, 434

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 36, 886, 954, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 886, 954, 434 is 2.

Therefore, GCD of numbers 36, 886, 954, 434 is 2

Given Input Data is 36, 886, 954, 434

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 886 is 2 x 443

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 434 is 2 x 7 x 31

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(36, 886) = 15948

GCD(36, 886) = ( 36 x 886 ) / 15948

GCD(36, 886) = 31896 / 15948

GCD(36, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 954

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

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

GCD(2, 954) = 1908 / 954

GCD(2, 954) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 434

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

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

GCD(2, 434) = 868 / 434

GCD(2, 434) = 2

GCD of 36, 886, 954, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 582, 167, 653
• GCD of 78, 792, 357, 805
• GCD of 49, 969, 907, 174
• GCD of 99, 349, 257, 939
• GCD of 43, 687, 547, 325

1. What is the GCD of 36, 886, 954, 434?

GCD of 36, 886, 954, 434 is 2

2. Where do I get the detailed procedure to find GCD of 36, 886, 954, 434?

You can find a detailed procedure to find GCD of 36, 886, 954, 434 on our page.

3. How to find GCD of 36, 886, 954, 434 on a calculator?

You can find the GCD of 36, 886, 954, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.