GCD of 229, 771, 45, 360 Calculator

Given Input numbers are 229, 771, 45, 360

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 229, 771, 45, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 771, 45, 360 is 1.

Therefore, GCD of numbers 229, 771, 45, 360 is 1

Given Input Data is 229, 771, 45, 360

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

Prime Factorization of 229 is 229

Prime Factorization of 771 is 3 x 257

Prime Factorization of 45 is 3 x 3 x 5

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

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(229, 771) = 176559

GCD(229, 771) = ( 229 x 771 ) / 176559

GCD(229, 771) = 176559 / 176559

GCD(229, 771) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 229, 771, 45, 360 is 1

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• GCD of 616, 872, 15, 517
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1. What is the GCD of 229, 771, 45, 360?

GCD of 229, 771, 45, 360 is 1

2. Where do I get the detailed procedure to find GCD of 229, 771, 45, 360?

You can find a detailed procedure to find GCD of 229, 771, 45, 360 on our page.

3. How to find GCD of 229, 771, 45, 360 on a calculator?

You can find the GCD of 229, 771, 45, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.