GCD of 870, 835, 50, 795 Calculator

Given Input numbers are 870, 835, 50, 795

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 795

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

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

Greatest Common Divisior

We found the divisors of 870, 835, 50, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 835, 50, 795 is 5.

Therefore, GCD of numbers 870, 835, 50, 795 is 5

Given Input Data is 870, 835, 50, 795

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 835 is 5 x 167

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 795 is 3 x 5 x 53

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(870, 835) = 145290

GCD(870, 835) = ( 870 x 835 ) / 145290

GCD(870, 835) = 726450 / 145290

GCD(870, 835) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 50

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

LCM(5, 50) = 50

GCD(5, 50) = ( 5 x 50 ) / 50

GCD(5, 50) = 250 / 50

GCD(5, 50) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 795

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

LCM(5, 795) = 795

GCD(5, 795) = ( 5 x 795 ) / 795

GCD(5, 795) = 3975 / 795

GCD(5, 795) = 5

GCD of 870, 835, 50, 795 is 5

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1. What is the GCD of 870, 835, 50, 795?

GCD of 870, 835, 50, 795 is 5

2. Where do I get the detailed procedure to find GCD of 870, 835, 50, 795?

You can find a detailed procedure to find GCD of 870, 835, 50, 795 on our page.

3. How to find GCD of 870, 835, 50, 795 on a calculator?

You can find the GCD of 870, 835, 50, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.