GCD of 416, 210, 953 Calculator

Given Input numbers are 416, 210, 953

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 416, 210, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 210, 953 is 1.

Therefore, GCD of numbers 416, 210, 953 is 1

Given Input Data is 416, 210, 953

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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

Prime Factorization of 953 is 953

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(416, 210) = 43680

GCD(416, 210) = ( 416 x 210 ) / 43680

GCD(416, 210) = 87360 / 43680

GCD(416, 210) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 953

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

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

GCD(2, 953) = 1906 / 1906

GCD(2, 953) = 1

GCD of 416, 210, 953 is 1

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1. What is the GCD of 416, 210, 953?

GCD of 416, 210, 953 is 1

2. Where do I get the detailed procedure to find GCD of 416, 210, 953?

You can find a detailed procedure to find GCD of 416, 210, 953 on our page.

3. How to find GCD of 416, 210, 953 on a calculator?

You can find the GCD of 416, 210, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.