GCD of 870, 610, 796, 956 Calculator

Given Input numbers are 870, 610, 796, 956

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 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 870, 610, 796, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 610, 796, 956 is 2.

Therefore, GCD of numbers 870, 610, 796, 956 is 2

Given Input Data is 870, 610, 796, 956

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 610 is 2 x 5 x 61

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 956 is 2 x 2 x 239

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 610) = 53070

GCD(870, 610) = ( 870 x 610 ) / 53070

GCD(870, 610) = 530700 / 53070

GCD(870, 610) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 796

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

LCM(10, 796) = 3980

GCD(10, 796) = ( 10 x 796 ) / 3980

GCD(10, 796) = 7960 / 3980

GCD(10, 796) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

GCD of 870, 610, 796, 956 is 2

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1. What is the GCD of 870, 610, 796, 956?

GCD of 870, 610, 796, 956 is 2

2. Where do I get the detailed procedure to find GCD of 870, 610, 796, 956?

You can find a detailed procedure to find GCD of 870, 610, 796, 956 on our page.

3. How to find GCD of 870, 610, 796, 956 on a calculator?

You can find the GCD of 870, 610, 796, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.