GCD of 290, 103, 31, 125 Calculator

Given Input numbers are 290, 103, 31, 125

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 290, 103, 31, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 103, 31, 125 is 1.

Therefore, GCD of numbers 290, 103, 31, 125 is 1

Given Input Data is 290, 103, 31, 125

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 103 is 103

Prime Factorization of 31 is 31

Prime Factorization of 125 is 5 x 5 x 5

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(290, 103) = 29870

GCD(290, 103) = ( 290 x 103 ) / 29870

GCD(290, 103) = 29870 / 29870

GCD(290, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 290, 103, 31, 125 is 1

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1. What is the GCD of 290, 103, 31, 125?

GCD of 290, 103, 31, 125 is 1

2. Where do I get the detailed procedure to find GCD of 290, 103, 31, 125?

You can find a detailed procedure to find GCD of 290, 103, 31, 125 on our page.

3. How to find GCD of 290, 103, 31, 125 on a calculator?

You can find the GCD of 290, 103, 31, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.