GCD of 226, 120, 730, 545 Calculator

Given Input numbers are 226, 120, 730, 545

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 226, 120, 730, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 120, 730, 545 is 1.

Therefore, GCD of numbers 226, 120, 730, 545 is 1

Given Input Data is 226, 120, 730, 545

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 545 is 5 x 109

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(226, 120) = 13560

GCD(226, 120) = ( 226 x 120 ) / 13560

GCD(226, 120) = 27120 / 13560

GCD(226, 120) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 545

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

LCM(2, 545) = 1090

GCD(2, 545) = ( 2 x 545 ) / 1090

GCD(2, 545) = 1090 / 1090

GCD(2, 545) = 1

GCD of 226, 120, 730, 545 is 1

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• GCD of 508, 795, 284, 321
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1. What is the GCD of 226, 120, 730, 545?

GCD of 226, 120, 730, 545 is 1

2. Where do I get the detailed procedure to find GCD of 226, 120, 730, 545?

You can find a detailed procedure to find GCD of 226, 120, 730, 545 on our page.

3. How to find GCD of 226, 120, 730, 545 on a calculator?

You can find the GCD of 226, 120, 730, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.