GCD of 634, 590, 345, 501 Calculator

Given Input numbers are 634, 590, 345, 501

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 634, 590, 345, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 590, 345, 501 is 1.

Therefore, GCD of numbers 634, 590, 345, 501 is 1

Given Input Data is 634, 590, 345, 501

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 501 is 3 x 167

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(634, 590) = 187030

GCD(634, 590) = ( 634 x 590 ) / 187030

GCD(634, 590) = 374060 / 187030

GCD(634, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 634, 590, 345, 501 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 394, 433, 818
• GCD of 162, 381, 309, 276
• GCD of 594, 262, 283, 709
• GCD of 414, 742, 328, 455
• GCD of 533, 957, 425, 158

1. What is the GCD of 634, 590, 345, 501?

GCD of 634, 590, 345, 501 is 1

2. Where do I get the detailed procedure to find GCD of 634, 590, 345, 501?

You can find a detailed procedure to find GCD of 634, 590, 345, 501 on our page.

3. How to find GCD of 634, 590, 345, 501 on a calculator?

You can find the GCD of 634, 590, 345, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.