GCD of 55, 217, 612, 745 Calculator

Given Input numbers are 55, 217, 612, 745

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 55, 217, 612, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 217, 612, 745 is 1.

Therefore, GCD of numbers 55, 217, 612, 745 is 1

Given Input Data is 55, 217, 612, 745

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 217 is 7 x 31

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 745 is 5 x 149

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, 217) = 11935

GCD(55, 217) = ( 55 x 217 ) / 11935

GCD(55, 217) = 11935 / 11935

GCD(55, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 55, 217, 612, 745 is 1

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1. What is the GCD of 55, 217, 612, 745?

GCD of 55, 217, 612, 745 is 1

2. Where do I get the detailed procedure to find GCD of 55, 217, 612, 745?

You can find a detailed procedure to find GCD of 55, 217, 612, 745 on our page.

3. How to find GCD of 55, 217, 612, 745 on a calculator?

You can find the GCD of 55, 217, 612, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.