GCD of 103, 890, 390, 850 Calculator

Given Input numbers are 103, 890, 390, 850

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

Divisors of 103

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

1, 103

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 103, 890, 390, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 890, 390, 850 is 1.

Therefore, GCD of numbers 103, 890, 390, 850 is 1

Given Input Data is 103, 890, 390, 850

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

Prime Factorization of 103 is 103

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(103, 890) = 91670

GCD(103, 890) = ( 103 x 890 ) / 91670

GCD(103, 890) = 91670 / 91670

GCD(103, 890) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 103, 890, 390, 850 is 1

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1. What is the GCD of 103, 890, 390, 850?

GCD of 103, 890, 390, 850 is 1

2. Where do I get the detailed procedure to find GCD of 103, 890, 390, 850?

You can find a detailed procedure to find GCD of 103, 890, 390, 850 on our page.

3. How to find GCD of 103, 890, 390, 850 on a calculator?

You can find the GCD of 103, 890, 390, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.