GCD of 870, 813, 957, 927 Calculator

Given Input numbers are 870, 813, 957, 927

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 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 870, 813, 957, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 813, 957, 927 is 3.

Therefore, GCD of numbers 870, 813, 957, 927 is 3

Given Input Data is 870, 813, 957, 927

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 813 is 3 x 271

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 927 is 3 x 3 x 103

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 813) = 235770

GCD(870, 813) = ( 870 x 813 ) / 235770

GCD(870, 813) = 707310 / 235770

GCD(870, 813) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 957

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

LCM(3, 957) = 957

GCD(3, 957) = ( 3 x 957 ) / 957

GCD(3, 957) = 2871 / 957

GCD(3, 957) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 927

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

LCM(3, 927) = 927

GCD(3, 927) = ( 3 x 927 ) / 927

GCD(3, 927) = 2781 / 927

GCD(3, 927) = 3

GCD of 870, 813, 957, 927 is 3

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1. What is the GCD of 870, 813, 957, 927?

GCD of 870, 813, 957, 927 is 3

2. Where do I get the detailed procedure to find GCD of 870, 813, 957, 927?

You can find a detailed procedure to find GCD of 870, 813, 957, 927 on our page.

3. How to find GCD of 870, 813, 957, 927 on a calculator?

You can find the GCD of 870, 813, 957, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.