GCD of 658, 874, 642, 859 Calculator

Given Input numbers are 658, 874, 642, 859

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Greatest Common Divisior

We found the divisors of 658, 874, 642, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 874, 642, 859 is 1.

Therefore, GCD of numbers 658, 874, 642, 859 is 1

Given Input Data is 658, 874, 642, 859

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 859 is 859

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(658, 874) = 287546

GCD(658, 874) = ( 658 x 874 ) / 287546

GCD(658, 874) = 575092 / 287546

GCD(658, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 859

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

LCM(2, 859) = 1718

GCD(2, 859) = ( 2 x 859 ) / 1718

GCD(2, 859) = 1718 / 1718

GCD(2, 859) = 1

GCD of 658, 874, 642, 859 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 999, 376, 683, 302

1. What is the GCD of 658, 874, 642, 859?

GCD of 658, 874, 642, 859 is 1

2. Where do I get the detailed procedure to find GCD of 658, 874, 642, 859?

You can find a detailed procedure to find GCD of 658, 874, 642, 859 on our page.

3. How to find GCD of 658, 874, 642, 859 on a calculator?

You can find the GCD of 658, 874, 642, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.