GCD of 412, 185, 876, 987 Calculator

Given Input numbers are 412, 185, 876, 987

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 412, 185, 876, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 185, 876, 987 is 1.

Therefore, GCD of numbers 412, 185, 876, 987 is 1

Given Input Data is 412, 185, 876, 987

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 185 is 5 x 37

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 987 is 3 x 7 x 47

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(412, 185) = 76220

GCD(412, 185) = ( 412 x 185 ) / 76220

GCD(412, 185) = 76220 / 76220

GCD(412, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 412, 185, 876, 987 is 1

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1. What is the GCD of 412, 185, 876, 987?

GCD of 412, 185, 876, 987 is 1

2. Where do I get the detailed procedure to find GCD of 412, 185, 876, 987?

You can find a detailed procedure to find GCD of 412, 185, 876, 987 on our page.

3. How to find GCD of 412, 185, 876, 987 on a calculator?

You can find the GCD of 412, 185, 876, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.