GCD of 360, 892, 47, 172 Calculator

Given Input numbers are 360, 892, 47, 172

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 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 360, 892, 47, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 892, 47, 172 is 1.

Therefore, GCD of numbers 360, 892, 47, 172 is 1

Given Input Data is 360, 892, 47, 172

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 892 is 2 x 2 x 223

Prime Factorization of 47 is 47

Prime Factorization of 172 is 2 x 2 x 43

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, 892) = 80280

GCD(360, 892) = ( 360 x 892 ) / 80280

GCD(360, 892) = 321120 / 80280

GCD(360, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 47

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

LCM(4, 47) = 188

GCD(4, 47) = ( 4 x 47 ) / 188

GCD(4, 47) = 188 / 188

GCD(4, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 360, 892, 47, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 852, 11, 463
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• GCD of 379, 133, 91, 933
• GCD of 134, 157, 51, 550
• GCD of 568, 271, 72, 711

1. What is the GCD of 360, 892, 47, 172?

GCD of 360, 892, 47, 172 is 1

2. Where do I get the detailed procedure to find GCD of 360, 892, 47, 172?

You can find a detailed procedure to find GCD of 360, 892, 47, 172 on our page.

3. How to find GCD of 360, 892, 47, 172 on a calculator?

You can find the GCD of 360, 892, 47, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.