GCD of 366, 356, 360, 471 Calculator

Given Input numbers are 366, 356, 360, 471

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

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 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 366, 356, 360, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 356, 360, 471 is 1.

Therefore, GCD of numbers 366, 356, 360, 471 is 1

Given Input Data is 366, 356, 360, 471

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 356 is 2 x 2 x 89

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

Prime Factorization of 471 is 3 x 157

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(366, 356) = 65148

GCD(366, 356) = ( 366 x 356 ) / 65148

GCD(366, 356) = 130296 / 65148

GCD(366, 356) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 471

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

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

GCD(2, 471) = 942 / 942

GCD(2, 471) = 1

GCD of 366, 356, 360, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 935, 133, 767
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• GCD of 201, 524, 987, 692

1. What is the GCD of 366, 356, 360, 471?

GCD of 366, 356, 360, 471 is 1

2. Where do I get the detailed procedure to find GCD of 366, 356, 360, 471?

You can find a detailed procedure to find GCD of 366, 356, 360, 471 on our page.

3. How to find GCD of 366, 356, 360, 471 on a calculator?

You can find the GCD of 366, 356, 360, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.