GCD of 658, 874, 29, 195 Calculator

Given Input numbers are 658, 874, 29, 195

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 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 658, 874, 29, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 874, 29, 195 is 1.

Therefore, GCD of numbers 658, 874, 29, 195 is 1

Given Input Data is 658, 874, 29, 195

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 29 is 29

Prime Factorization of 195 is 3 x 5 x 13

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 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

GCD of 658, 874, 29, 195 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 942, 88, 505
• GCD of 155, 846, 63, 957
• GCD of 464, 229, 81, 316
• GCD of 809, 527, 63, 289
• GCD of 674, 198, 48, 503

1. What is the GCD of 658, 874, 29, 195?

GCD of 658, 874, 29, 195 is 1

2. Where do I get the detailed procedure to find GCD of 658, 874, 29, 195?

You can find a detailed procedure to find GCD of 658, 874, 29, 195 on our page.

3. How to find GCD of 658, 874, 29, 195 on a calculator?

You can find the GCD of 658, 874, 29, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.