GCD of 854, 386, 36, 986 Calculator

Given Input numbers are 854, 386, 36, 986

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 854, 386, 36, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 386, 36, 986 is 2.

Therefore, GCD of numbers 854, 386, 36, 986 is 2

Given Input Data is 854, 386, 36, 986

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 386 is 2 x 193

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

Prime Factorization of 986 is 2 x 17 x 29

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(854, 386) = 164822

GCD(854, 386) = ( 854 x 386 ) / 164822

GCD(854, 386) = 329644 / 164822

GCD(854, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

GCD of 854, 386, 36, 986 is 2

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1. What is the GCD of 854, 386, 36, 986?

GCD of 854, 386, 36, 986 is 2

2. Where do I get the detailed procedure to find GCD of 854, 386, 36, 986?

You can find a detailed procedure to find GCD of 854, 386, 36, 986 on our page.

3. How to find GCD of 854, 386, 36, 986 on a calculator?

You can find the GCD of 854, 386, 36, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.