GCD of 502, 159, 71, 377 Calculator

Given Input numbers are 502, 159, 71, 377

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

Divisors of 502

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

1, 2, 251, 502

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 502, 159, 71, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 159, 71, 377 is 1.

Therefore, GCD of numbers 502, 159, 71, 377 is 1

Given Input Data is 502, 159, 71, 377

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 159 is 3 x 53

Prime Factorization of 71 is 71

Prime Factorization of 377 is 13 x 29

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(502, 159) = 79818

GCD(502, 159) = ( 502 x 159 ) / 79818

GCD(502, 159) = 79818 / 79818

GCD(502, 159) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 502, 159, 71, 377 is 1

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1. What is the GCD of 502, 159, 71, 377?

GCD of 502, 159, 71, 377 is 1

2. Where do I get the detailed procedure to find GCD of 502, 159, 71, 377?

You can find a detailed procedure to find GCD of 502, 159, 71, 377 on our page.

3. How to find GCD of 502, 159, 71, 377 on a calculator?

You can find the GCD of 502, 159, 71, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.