GCD of 154, 600, 313, 238 Calculator

Given Input numbers are 154, 600, 313, 238

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 154, 600, 313, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 600, 313, 238 is 1.

Therefore, GCD of numbers 154, 600, 313, 238 is 1

Given Input Data is 154, 600, 313, 238

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 313 is 313

Prime Factorization of 238 is 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(154, 600) = 46200

GCD(154, 600) = ( 154 x 600 ) / 46200

GCD(154, 600) = 92400 / 46200

GCD(154, 600) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 313

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

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

GCD(2, 313) = 626 / 626

GCD(2, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 154, 600, 313, 238 is 1

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1. What is the GCD of 154, 600, 313, 238?

GCD of 154, 600, 313, 238 is 1

2. Where do I get the detailed procedure to find GCD of 154, 600, 313, 238?

You can find a detailed procedure to find GCD of 154, 600, 313, 238 on our page.

3. How to find GCD of 154, 600, 313, 238 on a calculator?

You can find the GCD of 154, 600, 313, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.