GCD of 248, 360, 111, 400 Calculator

Given Input numbers are 248, 360, 111, 400

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

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 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 248, 360, 111, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 360, 111, 400 is 1.

Therefore, GCD of numbers 248, 360, 111, 400 is 1

Given Input Data is 248, 360, 111, 400

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(248, 360) = 11160

GCD(248, 360) = ( 248 x 360 ) / 11160

GCD(248, 360) = 89280 / 11160

GCD(248, 360) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 111

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

LCM(8, 111) = 888

GCD(8, 111) = ( 8 x 111 ) / 888

GCD(8, 111) = 888 / 888

GCD(8, 111) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 248, 360, 111, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 407, 913, 102
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• GCD of 218, 635, 530, 545
• GCD of 411, 291, 899, 999

1. What is the GCD of 248, 360, 111, 400?

GCD of 248, 360, 111, 400 is 1

2. Where do I get the detailed procedure to find GCD of 248, 360, 111, 400?

You can find a detailed procedure to find GCD of 248, 360, 111, 400 on our page.

3. How to find GCD of 248, 360, 111, 400 on a calculator?

You can find the GCD of 248, 360, 111, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.