GCD of 107, 877, 200, 834 Calculator

Given Input numbers are 107, 877, 200, 834

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 107, 877, 200, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 877, 200, 834 is 1.

Therefore, GCD of numbers 107, 877, 200, 834 is 1

Given Input Data is 107, 877, 200, 834

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

Prime Factorization of 107 is 107

Prime Factorization of 877 is 877

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

Prime Factorization of 834 is 2 x 3 x 139

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(107, 877) = 93839

GCD(107, 877) = ( 107 x 877 ) / 93839

GCD(107, 877) = 93839 / 93839

GCD(107, 877) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 834

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

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

GCD(1, 834) = 834 / 834

GCD(1, 834) = 1

GCD of 107, 877, 200, 834 is 1

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1. What is the GCD of 107, 877, 200, 834?

GCD of 107, 877, 200, 834 is 1

2. Where do I get the detailed procedure to find GCD of 107, 877, 200, 834?

You can find a detailed procedure to find GCD of 107, 877, 200, 834 on our page.

3. How to find GCD of 107, 877, 200, 834 on a calculator?

You can find the GCD of 107, 877, 200, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.