GCD of 360, 764, 37, 341 Calculator

Given Input numbers are 360, 764, 37, 341

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 360, 764, 37, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 764, 37, 341 is 1.

Therefore, GCD of numbers 360, 764, 37, 341 is 1

Given Input Data is 360, 764, 37, 341

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 764 is 2 x 2 x 191

Prime Factorization of 37 is 37

Prime Factorization of 341 is 11 x 31

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, 764) = 68760

GCD(360, 764) = ( 360 x 764 ) / 68760

GCD(360, 764) = 275040 / 68760

GCD(360, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 37

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

LCM(4, 37) = 148

GCD(4, 37) = ( 4 x 37 ) / 148

GCD(4, 37) = 148 / 148

GCD(4, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 360, 764, 37, 341 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 651, 17, 932
• GCD of 834, 135, 31, 368
• GCD of 253, 683, 79, 931
• GCD of 216, 115, 22, 769
• GCD of 676, 612, 15, 953

1. What is the GCD of 360, 764, 37, 341?

GCD of 360, 764, 37, 341 is 1

2. Where do I get the detailed procedure to find GCD of 360, 764, 37, 341?

You can find a detailed procedure to find GCD of 360, 764, 37, 341 on our page.

3. How to find GCD of 360, 764, 37, 341 on a calculator?

You can find the GCD of 360, 764, 37, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.