GCD of 474, 238, 59, 827 Calculator

Given Input numbers are 474, 238, 59, 827

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 238

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

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 474, 238, 59, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 238, 59, 827 is 1.

Therefore, GCD of numbers 474, 238, 59, 827 is 1

Given Input Data is 474, 238, 59, 827

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 238 is 2 x 7 x 17

Prime Factorization of 59 is 59

Prime Factorization of 827 is 827

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, 238) = 56406

GCD(474, 238) = ( 474 x 238 ) / 56406

GCD(474, 238) = 112812 / 56406

GCD(474, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 474, 238, 59, 827 is 1

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1. What is the GCD of 474, 238, 59, 827?

GCD of 474, 238, 59, 827 is 1

2. Where do I get the detailed procedure to find GCD of 474, 238, 59, 827?

You can find a detailed procedure to find GCD of 474, 238, 59, 827 on our page.

3. How to find GCD of 474, 238, 59, 827 on a calculator?

You can find the GCD of 474, 238, 59, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.