GCD of 636, 874, 38, 989 Calculator

Given Input numbers are 636, 874, 38, 989

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 636, 874, 38, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 874, 38, 989 is 1.

Therefore, GCD of numbers 636, 874, 38, 989 is 1

Given Input Data is 636, 874, 38, 989

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 38 is 2 x 19

Prime Factorization of 989 is 23 x 43

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(636, 874) = 277932

GCD(636, 874) = ( 636 x 874 ) / 277932

GCD(636, 874) = 555864 / 277932

GCD(636, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

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

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 1

GCD of 636, 874, 38, 989 is 1

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• GCD of 942, 144, 17, 165
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1. What is the GCD of 636, 874, 38, 989?

GCD of 636, 874, 38, 989 is 1

2. Where do I get the detailed procedure to find GCD of 636, 874, 38, 989?

You can find a detailed procedure to find GCD of 636, 874, 38, 989 on our page.

3. How to find GCD of 636, 874, 38, 989 on a calculator?

You can find the GCD of 636, 874, 38, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.