GCD of 158, 590, 34, 502 Calculator

Given Input numbers are 158, 590, 34, 502

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

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

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 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 158, 590, 34, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 590, 34, 502 is 2.

Therefore, GCD of numbers 158, 590, 34, 502 is 2

Given Input Data is 158, 590, 34, 502

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 34 is 2 x 17

Prime Factorization of 502 is 2 x 251

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(158, 590) = 46610

GCD(158, 590) = ( 158 x 590 ) / 46610

GCD(158, 590) = 93220 / 46610

GCD(158, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

GCD of 158, 590, 34, 502 is 2

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1. What is the GCD of 158, 590, 34, 502?

GCD of 158, 590, 34, 502 is 2

2. Where do I get the detailed procedure to find GCD of 158, 590, 34, 502?

You can find a detailed procedure to find GCD of 158, 590, 34, 502 on our page.

3. How to find GCD of 158, 590, 34, 502 on a calculator?

You can find the GCD of 158, 590, 34, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.