GCD of 360, 399, 202, 476 Calculator

Given Input numbers are 360, 399, 202, 476

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 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 360, 399, 202, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 399, 202, 476 is 1.

Therefore, GCD of numbers 360, 399, 202, 476 is 1

Given Input Data is 360, 399, 202, 476

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 399 is 3 x 7 x 19

Prime Factorization of 202 is 2 x 101

Prime Factorization of 476 is 2 x 2 x 7 x 17

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, 399) = 47880

GCD(360, 399) = ( 360 x 399 ) / 47880

GCD(360, 399) = 143640 / 47880

GCD(360, 399) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 202

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

LCM(3, 202) = 606

GCD(3, 202) = ( 3 x 202 ) / 606

GCD(3, 202) = 606 / 606

GCD(3, 202) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 360, 399, 202, 476 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 146, 955, 161
• GCD of 980, 445, 892, 349
• GCD of 735, 178, 372, 891
• GCD of 775, 820, 586, 902
• GCD of 160, 453, 223, 590

1. What is the GCD of 360, 399, 202, 476?

GCD of 360, 399, 202, 476 is 1

2. Where do I get the detailed procedure to find GCD of 360, 399, 202, 476?

You can find a detailed procedure to find GCD of 360, 399, 202, 476 on our page.

3. How to find GCD of 360, 399, 202, 476 on a calculator?

You can find the GCD of 360, 399, 202, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.