GCD of 416, 124, 775, 209 Calculator

Given Input numbers are 416, 124, 775, 209

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 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 416, 124, 775, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 124, 775, 209 is 1.

Therefore, GCD of numbers 416, 124, 775, 209 is 1

Given Input Data is 416, 124, 775, 209

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 124 is 2 x 2 x 31

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 209 is 11 x 19

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, 124) = 12896

GCD(416, 124) = ( 416 x 124 ) / 12896

GCD(416, 124) = 51584 / 12896

GCD(416, 124) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 775

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

LCM(4, 775) = 3100

GCD(4, 775) = ( 4 x 775 ) / 3100

GCD(4, 775) = 3100 / 3100

GCD(4, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 416, 124, 775, 209 is 1

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1. What is the GCD of 416, 124, 775, 209?

GCD of 416, 124, 775, 209 is 1

2. Where do I get the detailed procedure to find GCD of 416, 124, 775, 209?

You can find a detailed procedure to find GCD of 416, 124, 775, 209 on our page.

3. How to find GCD of 416, 124, 775, 209 on a calculator?

You can find the GCD of 416, 124, 775, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.