GCD of 955, 785, 30, 870 Calculator

Given Input numbers are 955, 785, 30, 870

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

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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

Greatest Common Divisior

We found the divisors of 955, 785, 30, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 955, 785, 30, 870 is 5.

Therefore, GCD of numbers 955, 785, 30, 870 is 5

Given Input Data is 955, 785, 30, 870

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

Prime Factorization of 955 is 5 x 191

Prime Factorization of 785 is 5 x 157

Prime Factorization of 30 is 2 x 3 x 5

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

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(955, 785) = 149935

GCD(955, 785) = ( 955 x 785 ) / 149935

GCD(955, 785) = 749675 / 149935

GCD(955, 785) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 30

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

LCM(5, 30) = 30

GCD(5, 30) = ( 5 x 30 ) / 30

GCD(5, 30) = 150 / 30

GCD(5, 30) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 870

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

LCM(5, 870) = 870

GCD(5, 870) = ( 5 x 870 ) / 870

GCD(5, 870) = 4350 / 870

GCD(5, 870) = 5

GCD of 955, 785, 30, 870 is 5

Here are some samples of GCD of Numbers calculations.

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• GCD of 980, 730, 56, 486

1. What is the GCD of 955, 785, 30, 870?

GCD of 955, 785, 30, 870 is 5

2. Where do I get the detailed procedure to find GCD of 955, 785, 30, 870?

You can find a detailed procedure to find GCD of 955, 785, 30, 870 on our page.

3. How to find GCD of 955, 785, 30, 870 on a calculator?

You can find the GCD of 955, 785, 30, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.