GCD of 795, 850, 890, 724 Calculator

Given Input numbers are 795, 850, 890, 724

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

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

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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 795, 850, 890, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 850, 890, 724 is 1.

Therefore, GCD of numbers 795, 850, 890, 724 is 1

Given Input Data is 795, 850, 890, 724

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

Prime Factorization of 795 is 3 x 5 x 53

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 724 is 2 x 2 x 181

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(795, 850) = 135150

GCD(795, 850) = ( 795 x 850 ) / 135150

GCD(795, 850) = 675750 / 135150

GCD(795, 850) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 890

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

LCM(5, 890) = 890

GCD(5, 890) = ( 5 x 890 ) / 890

GCD(5, 890) = 4450 / 890

GCD(5, 890) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 724

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

LCM(5, 724) = 3620

GCD(5, 724) = ( 5 x 724 ) / 3620

GCD(5, 724) = 3620 / 3620

GCD(5, 724) = 1

GCD of 795, 850, 890, 724 is 1

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1. What is the GCD of 795, 850, 890, 724?

GCD of 795, 850, 890, 724 is 1

2. Where do I get the detailed procedure to find GCD of 795, 850, 890, 724?

You can find a detailed procedure to find GCD of 795, 850, 890, 724 on our page.

3. How to find GCD of 795, 850, 890, 724 on a calculator?

You can find the GCD of 795, 850, 890, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.