GCD of 870, 351, 76, 887 Calculator

Given Input numbers are 870, 351, 76, 887

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Greatest Common Divisior

We found the divisors of 870, 351, 76, 887 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 351, 76, 887 is 1.

Therefore, GCD of numbers 870, 351, 76, 887 is 1

Given Input Data is 870, 351, 76, 887

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 351 is 3 x 3 x 3 x 13

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 887 is 887

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(870, 351) = 101790

GCD(870, 351) = ( 870 x 351 ) / 101790

GCD(870, 351) = 305370 / 101790

GCD(870, 351) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 76

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

LCM(3, 76) = 228

GCD(3, 76) = ( 3 x 76 ) / 228

GCD(3, 76) = 228 / 228

GCD(3, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 887

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

LCM(1, 887) = 887

GCD(1, 887) = ( 1 x 887 ) / 887

GCD(1, 887) = 887 / 887

GCD(1, 887) = 1

GCD of 870, 351, 76, 887 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 377, 26, 788
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• GCD of 608, 698, 31, 945
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• GCD of 261, 188, 32, 403

1. What is the GCD of 870, 351, 76, 887?

GCD of 870, 351, 76, 887 is 1

2. Where do I get the detailed procedure to find GCD of 870, 351, 76, 887?

You can find a detailed procedure to find GCD of 870, 351, 76, 887 on our page.

3. How to find GCD of 870, 351, 76, 887 on a calculator?

You can find the GCD of 870, 351, 76, 887 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.