GCD of 898, 364, 947, 210 Calculator

Given Input numbers are 898, 364, 947, 210

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

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

Greatest Common Divisior

We found the divisors of 898, 364, 947, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 364, 947, 210 is 1.

Therefore, GCD of numbers 898, 364, 947, 210 is 1

Given Input Data is 898, 364, 947, 210

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 947 is 947

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

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(898, 364) = 163436

GCD(898, 364) = ( 898 x 364 ) / 163436

GCD(898, 364) = 326872 / 163436

GCD(898, 364) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 898, 364, 947, 210 is 1

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• GCD of 987, 800, 156, 339
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1. What is the GCD of 898, 364, 947, 210?

GCD of 898, 364, 947, 210 is 1

2. Where do I get the detailed procedure to find GCD of 898, 364, 947, 210?

You can find a detailed procedure to find GCD of 898, 364, 947, 210 on our page.

3. How to find GCD of 898, 364, 947, 210 on a calculator?

You can find the GCD of 898, 364, 947, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.