GCD of 267, 178, 23, 370 Calculator

Given Input numbers are 267, 178, 23, 370

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 267, 178, 23, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 178, 23, 370 is 1.

Therefore, GCD of numbers 267, 178, 23, 370 is 1

Given Input Data is 267, 178, 23, 370

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 178 is 2 x 89

Prime Factorization of 23 is 23

Prime Factorization of 370 is 2 x 5 x 37

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, 178) = 534

GCD(267, 178) = ( 267 x 178 ) / 534

GCD(267, 178) = 47526 / 534

GCD(267, 178) = 89

Step2:

Here we consider the GCD from the above i.e. 89 as first number and the next as 23

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

LCM(89, 23) = 2047

GCD(89, 23) = ( 89 x 23 ) / 2047

GCD(89, 23) = 2047 / 2047

GCD(89, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 267, 178, 23, 370 is 1

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1. What is the GCD of 267, 178, 23, 370?

GCD of 267, 178, 23, 370 is 1

2. Where do I get the detailed procedure to find GCD of 267, 178, 23, 370?

You can find a detailed procedure to find GCD of 267, 178, 23, 370 on our page.

3. How to find GCD of 267, 178, 23, 370 on a calculator?

You can find the GCD of 267, 178, 23, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.