GCD of 360, 919, 489, 362 Calculator

Given Input numbers are 360, 919, 489, 362

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

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 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 360, 919, 489, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 919, 489, 362 is 1.

Therefore, GCD of numbers 360, 919, 489, 362 is 1

Given Input Data is 360, 919, 489, 362

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

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

Prime Factorization of 919 is 919

Prime Factorization of 489 is 3 x 163

Prime Factorization of 362 is 2 x 181

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(360, 919) = 330840

GCD(360, 919) = ( 360 x 919 ) / 330840

GCD(360, 919) = 330840 / 330840

GCD(360, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 360, 919, 489, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 754, 541, 553
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• GCD of 554, 680, 617, 572
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• GCD of 467, 882, 931, 242

1. What is the GCD of 360, 919, 489, 362?

GCD of 360, 919, 489, 362 is 1

2. Where do I get the detailed procedure to find GCD of 360, 919, 489, 362?

You can find a detailed procedure to find GCD of 360, 919, 489, 362 on our page.

3. How to find GCD of 360, 919, 489, 362 on a calculator?

You can find the GCD of 360, 919, 489, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.