GCD of 267, 366, 140, 360 Calculator

Given Input numbers are 267, 366, 140, 360

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

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 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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

Greatest Common Divisior

We found the divisors of 267, 366, 140, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 366, 140, 360 is 1.

Therefore, GCD of numbers 267, 366, 140, 360 is 1

Given Input Data is 267, 366, 140, 360

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 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(267, 366) = 32574

GCD(267, 366) = ( 267 x 366 ) / 32574

GCD(267, 366) = 97722 / 32574

GCD(267, 366) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 140

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

LCM(3, 140) = 420

GCD(3, 140) = ( 3 x 140 ) / 420

GCD(3, 140) = 420 / 420

GCD(3, 140) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 267, 366, 140, 360 is 1

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1. What is the GCD of 267, 366, 140, 360?

GCD of 267, 366, 140, 360 is 1

2. Where do I get the detailed procedure to find GCD of 267, 366, 140, 360?

You can find a detailed procedure to find GCD of 267, 366, 140, 360 on our page.

3. How to find GCD of 267, 366, 140, 360 on a calculator?

You can find the GCD of 267, 366, 140, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.