GCD of 355, 549, 742, 745 Calculator

Given Input numbers are 355, 549, 742, 745

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

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 355, 549, 742, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 549, 742, 745 is 1.

Therefore, GCD of numbers 355, 549, 742, 745 is 1

Given Input Data is 355, 549, 742, 745

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 742 is 2 x 7 x 53

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(355, 549) = 194895

GCD(355, 549) = ( 355 x 549 ) / 194895

GCD(355, 549) = 194895 / 194895

GCD(355, 549) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 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 355, 549, 742, 745 is 1

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1. What is the GCD of 355, 549, 742, 745?

GCD of 355, 549, 742, 745 is 1

2. Where do I get the detailed procedure to find GCD of 355, 549, 742, 745?

You can find a detailed procedure to find GCD of 355, 549, 742, 745 on our page.

3. How to find GCD of 355, 549, 742, 745 on a calculator?

You can find the GCD of 355, 549, 742, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.