GCD of 474, 145, 268, 232 Calculator

Given Input numbers are 474, 145, 268, 232

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 474, 145, 268, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 145, 268, 232 is 1.

Therefore, GCD of numbers 474, 145, 268, 232 is 1

Given Input Data is 474, 145, 268, 232

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 145 is 5 x 29

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(474, 145) = 68730

GCD(474, 145) = ( 474 x 145 ) / 68730

GCD(474, 145) = 68730 / 68730

GCD(474, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 474, 145, 268, 232 is 1

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1. What is the GCD of 474, 145, 268, 232?

GCD of 474, 145, 268, 232 is 1

2. Where do I get the detailed procedure to find GCD of 474, 145, 268, 232?

You can find a detailed procedure to find GCD of 474, 145, 268, 232 on our page.

3. How to find GCD of 474, 145, 268, 232 on a calculator?

You can find the GCD of 474, 145, 268, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.