GCD of 274, 668, 920, 183 Calculator

Given Input numbers are 274, 668, 920, 183

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Greatest Common Divisior

We found the divisors of 274, 668, 920, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 668, 920, 183 is 1.

Therefore, GCD of numbers 274, 668, 920, 183 is 1

Given Input Data is 274, 668, 920, 183

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 183 is 3 x 61

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(274, 668) = 91516

GCD(274, 668) = ( 274 x 668 ) / 91516

GCD(274, 668) = 183032 / 91516

GCD(274, 668) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 183

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

LCM(2, 183) = 366

GCD(2, 183) = ( 2 x 183 ) / 366

GCD(2, 183) = 366 / 366

GCD(2, 183) = 1

GCD of 274, 668, 920, 183 is 1

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1. What is the GCD of 274, 668, 920, 183?

GCD of 274, 668, 920, 183 is 1

2. Where do I get the detailed procedure to find GCD of 274, 668, 920, 183?

You can find a detailed procedure to find GCD of 274, 668, 920, 183 on our page.

3. How to find GCD of 274, 668, 920, 183 on a calculator?

You can find the GCD of 274, 668, 920, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.