GCD of 360, 275, 395, 952 Calculator

Given Input numbers are 360, 275, 395, 952

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 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 360, 275, 395, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 275, 395, 952 is 1.

Therefore, GCD of numbers 360, 275, 395, 952 is 1

Given Input Data is 360, 275, 395, 952

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 275 is 5 x 5 x 11

Prime Factorization of 395 is 5 x 79

Prime Factorization of 952 is 2 x 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, 275) = 19800

GCD(360, 275) = ( 360 x 275 ) / 19800

GCD(360, 275) = 99000 / 19800

GCD(360, 275) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 395

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

LCM(5, 395) = 395

GCD(5, 395) = ( 5 x 395 ) / 395

GCD(5, 395) = 1975 / 395

GCD(5, 395) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 952

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

LCM(5, 952) = 4760

GCD(5, 952) = ( 5 x 952 ) / 4760

GCD(5, 952) = 4760 / 4760

GCD(5, 952) = 1

GCD of 360, 275, 395, 952 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 360, 275, 395, 952?

GCD of 360, 275, 395, 952 is 1

2. Where do I get the detailed procedure to find GCD of 360, 275, 395, 952?

You can find a detailed procedure to find GCD of 360, 275, 395, 952 on our page.

3. How to find GCD of 360, 275, 395, 952 on a calculator?

You can find the GCD of 360, 275, 395, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.