GCD of 987, 210, 412, 461 Calculator

Given Input numbers are 987, 210, 412, 461

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

Divisors of 987

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

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 412

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

1, 2, 4, 103, 206, 412

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 987, 210, 412, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 210, 412, 461 is 1.

Therefore, GCD of numbers 987, 210, 412, 461 is 1

Given Input Data is 987, 210, 412, 461

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 461 is 461

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(987, 210) = 9870

GCD(987, 210) = ( 987 x 210 ) / 9870

GCD(987, 210) = 207270 / 9870

GCD(987, 210) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 412

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

LCM(21, 412) = 8652

GCD(21, 412) = ( 21 x 412 ) / 8652

GCD(21, 412) = 8652 / 8652

GCD(21, 412) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 987, 210, 412, 461 is 1

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• GCD of 360, 864, 957, 110
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1. What is the GCD of 987, 210, 412, 461?

GCD of 987, 210, 412, 461 is 1

2. Where do I get the detailed procedure to find GCD of 987, 210, 412, 461?

You can find a detailed procedure to find GCD of 987, 210, 412, 461 on our page.

3. How to find GCD of 987, 210, 412, 461 on a calculator?

You can find the GCD of 987, 210, 412, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.