GCD of 202, 360, 542, 745 Calculator

Given Input numbers are 202, 360, 542, 745

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

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 202, 360, 542, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 360, 542, 745 is 1.

Therefore, GCD of numbers 202, 360, 542, 745 is 1

Given Input Data is 202, 360, 542, 745

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 542 is 2 x 271

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(202, 360) = 36360

GCD(202, 360) = ( 202 x 360 ) / 36360

GCD(202, 360) = 72720 / 36360

GCD(202, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 542

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

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

GCD(2, 542) = 1084 / 542

GCD(2, 542) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 745

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

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

GCD(2, 745) = 1490 / 1490

GCD(2, 745) = 1

GCD of 202, 360, 542, 745 is 1

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1. What is the GCD of 202, 360, 542, 745?

GCD of 202, 360, 542, 745 is 1

2. Where do I get the detailed procedure to find GCD of 202, 360, 542, 745?

You can find a detailed procedure to find GCD of 202, 360, 542, 745 on our page.

3. How to find GCD of 202, 360, 542, 745 on a calculator?

You can find the GCD of 202, 360, 542, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.