GCD of 869, 158, 38, 200 Calculator

Given Input numbers are 869, 158, 38, 200

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 38

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

1, 2, 19, 38

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 869, 158, 38, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 158, 38, 200 is 1.

Therefore, GCD of numbers 869, 158, 38, 200 is 1

Given Input Data is 869, 158, 38, 200

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

Prime Factorization of 869 is 11 x 79

Prime Factorization of 158 is 2 x 79

Prime Factorization of 38 is 2 x 19

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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(869, 158) = 1738

GCD(869, 158) = ( 869 x 158 ) / 1738

GCD(869, 158) = 137302 / 1738

GCD(869, 158) = 79

Step2:

Here we consider the GCD from the above i.e. 79 as first number and the next as 38

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

LCM(79, 38) = 3002

GCD(79, 38) = ( 79 x 38 ) / 3002

GCD(79, 38) = 3002 / 3002

GCD(79, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 869, 158, 38, 200 is 1

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• GCD of 835, 253, 40, 332
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1. What is the GCD of 869, 158, 38, 200?

GCD of 869, 158, 38, 200 is 1

2. Where do I get the detailed procedure to find GCD of 869, 158, 38, 200?

You can find a detailed procedure to find GCD of 869, 158, 38, 200 on our page.

3. How to find GCD of 869, 158, 38, 200 on a calculator?

You can find the GCD of 869, 158, 38, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.