GCD of 480, 836, 964, 882 Calculator

Given Input numbers are 480, 836, 964, 882

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

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 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 480, 836, 964, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 836, 964, 882 is 2.

Therefore, GCD of numbers 480, 836, 964, 882 is 2

Given Input Data is 480, 836, 964, 882

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

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

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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(480, 836) = 100320

GCD(480, 836) = ( 480 x 836 ) / 100320

GCD(480, 836) = 401280 / 100320

GCD(480, 836) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 964

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

LCM(4, 964) = 964

GCD(4, 964) = ( 4 x 964 ) / 964

GCD(4, 964) = 3856 / 964

GCD(4, 964) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 882

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

LCM(4, 882) = 1764

GCD(4, 882) = ( 4 x 882 ) / 1764

GCD(4, 882) = 3528 / 1764

GCD(4, 882) = 2

GCD of 480, 836, 964, 882 is 2

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1. What is the GCD of 480, 836, 964, 882?

GCD of 480, 836, 964, 882 is 2

2. Where do I get the detailed procedure to find GCD of 480, 836, 964, 882?

You can find a detailed procedure to find GCD of 480, 836, 964, 882 on our page.

3. How to find GCD of 480, 836, 964, 882 on a calculator?

You can find the GCD of 480, 836, 964, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.