GCD of 564, 526, 88, 882 Calculator

Given Input numbers are 564, 526, 88, 882

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

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 564, 526, 88, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 526, 88, 882 is 2.

Therefore, GCD of numbers 564, 526, 88, 882 is 2

Given Input Data is 564, 526, 88, 882

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 526 is 2 x 263

Prime Factorization of 88 is 2 x 2 x 2 x 11

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(564, 526) = 148332

GCD(564, 526) = ( 564 x 526 ) / 148332

GCD(564, 526) = 296664 / 148332

GCD(564, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

GCD of 564, 526, 88, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 551, 48, 773
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• GCD of 310, 541, 41, 698
• GCD of 251, 209, 71, 749

1. What is the GCD of 564, 526, 88, 882?

GCD of 564, 526, 88, 882 is 2

2. Where do I get the detailed procedure to find GCD of 564, 526, 88, 882?

You can find a detailed procedure to find GCD of 564, 526, 88, 882 on our page.

3. How to find GCD of 564, 526, 88, 882 on a calculator?

You can find the GCD of 564, 526, 88, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.