GCD of 427, 952, 258, 838 Calculator

Given Input numbers are 427, 952, 258, 838

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 427, 952, 258, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 952, 258, 838 is 1.

Therefore, GCD of numbers 427, 952, 258, 838 is 1

Given Input Data is 427, 952, 258, 838

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 838 is 2 x 419

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(427, 952) = 58072

GCD(427, 952) = ( 427 x 952 ) / 58072

GCD(427, 952) = 406504 / 58072

GCD(427, 952) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 258

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

LCM(7, 258) = 1806

GCD(7, 258) = ( 7 x 258 ) / 1806

GCD(7, 258) = 1806 / 1806

GCD(7, 258) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 427, 952, 258, 838 is 1

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1. What is the GCD of 427, 952, 258, 838?

GCD of 427, 952, 258, 838 is 1

2. Where do I get the detailed procedure to find GCD of 427, 952, 258, 838?

You can find a detailed procedure to find GCD of 427, 952, 258, 838 on our page.

3. How to find GCD of 427, 952, 258, 838 on a calculator?

You can find the GCD of 427, 952, 258, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.