GCD of 55, 209, 992, 616 Calculator

Given Input numbers are 55, 209, 992, 616

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 209

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

1, 11, 19, 209

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 55, 209, 992, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 209, 992, 616 is 1.

Therefore, GCD of numbers 55, 209, 992, 616 is 1

Given Input Data is 55, 209, 992, 616

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 209 is 11 x 19

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(55, 209) = 1045

GCD(55, 209) = ( 55 x 209 ) / 1045

GCD(55, 209) = 11495 / 1045

GCD(55, 209) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 992

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

LCM(11, 992) = 10912

GCD(11, 992) = ( 11 x 992 ) / 10912

GCD(11, 992) = 10912 / 10912

GCD(11, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 55, 209, 992, 616 is 1

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• GCD of 55, 789, 471, 779
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1. What is the GCD of 55, 209, 992, 616?

GCD of 55, 209, 992, 616 is 1

2. Where do I get the detailed procedure to find GCD of 55, 209, 992, 616?

You can find a detailed procedure to find GCD of 55, 209, 992, 616 on our page.

3. How to find GCD of 55, 209, 992, 616 on a calculator?

You can find the GCD of 55, 209, 992, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.