GCD of 48, 882, 964, 276 Calculator

Given Input numbers are 48, 882, 964, 276

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 48, 882, 964, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 882, 964, 276 is 2.

Therefore, GCD of numbers 48, 882, 964, 276 is 2

Given Input Data is 48, 882, 964, 276

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 276 is 2 x 2 x 3 x 23

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(48, 882) = 7056

GCD(48, 882) = ( 48 x 882 ) / 7056

GCD(48, 882) = 42336 / 7056

GCD(48, 882) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 964

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

LCM(6, 964) = 2892

GCD(6, 964) = ( 6 x 964 ) / 2892

GCD(6, 964) = 5784 / 2892

GCD(6, 964) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 276

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

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

GCD(2, 276) = 552 / 276

GCD(2, 276) = 2

GCD of 48, 882, 964, 276 is 2

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1. What is the GCD of 48, 882, 964, 276?

GCD of 48, 882, 964, 276 is 2

2. Where do I get the detailed procedure to find GCD of 48, 882, 964, 276?

You can find a detailed procedure to find GCD of 48, 882, 964, 276 on our page.

3. How to find GCD of 48, 882, 964, 276 on a calculator?

You can find the GCD of 48, 882, 964, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.