GCD of 210, 950, 898, 409 Calculator

Given Input numbers are 210, 950, 898, 409

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

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 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 898

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

1, 2, 449, 898

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 210, 950, 898, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 950, 898, 409 is 1.

Therefore, GCD of numbers 210, 950, 898, 409 is 1

Given Input Data is 210, 950, 898, 409

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

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

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 898 is 2 x 449

Prime Factorization of 409 is 409

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(210, 950) = 19950

GCD(210, 950) = ( 210 x 950 ) / 19950

GCD(210, 950) = 199500 / 19950

GCD(210, 950) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 898

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

LCM(10, 898) = 4490

GCD(10, 898) = ( 10 x 898 ) / 4490

GCD(10, 898) = 8980 / 4490

GCD(10, 898) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 409

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

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

GCD(2, 409) = 818 / 818

GCD(2, 409) = 1

GCD of 210, 950, 898, 409 is 1

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• GCD of 472, 369, 736, 385
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• GCD of 377, 472, 131, 508

1. What is the GCD of 210, 950, 898, 409?

GCD of 210, 950, 898, 409 is 1

2. Where do I get the detailed procedure to find GCD of 210, 950, 898, 409?

You can find a detailed procedure to find GCD of 210, 950, 898, 409 on our page.

3. How to find GCD of 210, 950, 898, 409 on a calculator?

You can find the GCD of 210, 950, 898, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.