GCD of 861, 480, 30, 876 Calculator

Given Input numbers are 861, 480, 30, 876

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 861, 480, 30, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 480, 30, 876 is 3.

Therefore, GCD of numbers 861, 480, 30, 876 is 3

Given Input Data is 861, 480, 30, 876

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 876 is 2 x 2 x 3 x 73

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(861, 480) = 137760

GCD(861, 480) = ( 861 x 480 ) / 137760

GCD(861, 480) = 413280 / 137760

GCD(861, 480) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 30

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

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

GCD(3, 30) = 90 / 30

GCD(3, 30) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 876

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

LCM(3, 876) = 876

GCD(3, 876) = ( 3 x 876 ) / 876

GCD(3, 876) = 2628 / 876

GCD(3, 876) = 3

GCD of 861, 480, 30, 876 is 3

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• GCD of 893, 531, 46, 618
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• GCD of 662, 526, 99, 723

1. What is the GCD of 861, 480, 30, 876?

GCD of 861, 480, 30, 876 is 3

2. Where do I get the detailed procedure to find GCD of 861, 480, 30, 876?

You can find a detailed procedure to find GCD of 861, 480, 30, 876 on our page.

3. How to find GCD of 861, 480, 30, 876 on a calculator?

You can find the GCD of 861, 480, 30, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.