GCD of 874, 342, 61, 258 Calculator

Given Input numbers are 874, 342, 61, 258

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 258

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

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

Greatest Common Divisior

We found the divisors of 874, 342, 61, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 342, 61, 258 is 1.

Therefore, GCD of numbers 874, 342, 61, 258 is 1

Given Input Data is 874, 342, 61, 258

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 61 is 61

Prime Factorization of 258 is 2 x 3 x 43

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(874, 342) = 7866

GCD(874, 342) = ( 874 x 342 ) / 7866

GCD(874, 342) = 298908 / 7866

GCD(874, 342) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 61

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

LCM(38, 61) = 2318

GCD(38, 61) = ( 38 x 61 ) / 2318

GCD(38, 61) = 2318 / 2318

GCD(38, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 874, 342, 61, 258 is 1

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1. What is the GCD of 874, 342, 61, 258?

GCD of 874, 342, 61, 258 is 1

2. Where do I get the detailed procedure to find GCD of 874, 342, 61, 258?

You can find a detailed procedure to find GCD of 874, 342, 61, 258 on our page.

3. How to find GCD of 874, 342, 61, 258 on a calculator?

You can find the GCD of 874, 342, 61, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.