GCD of 264, 600, 882, 801 Calculator

Given Input numbers are 264, 600, 882, 801

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 264, 600, 882, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 600, 882, 801 is 3.

Therefore, GCD of numbers 264, 600, 882, 801 is 3

Given Input Data is 264, 600, 882, 801

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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

Prime Factorization of 801 is 3 x 3 x 89

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(264, 600) = 6600

GCD(264, 600) = ( 264 x 600 ) / 6600

GCD(264, 600) = 158400 / 6600

GCD(264, 600) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 882

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

LCM(24, 882) = 3528

GCD(24, 882) = ( 24 x 882 ) / 3528

GCD(24, 882) = 21168 / 3528

GCD(24, 882) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 801

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

LCM(6, 801) = 1602

GCD(6, 801) = ( 6 x 801 ) / 1602

GCD(6, 801) = 4806 / 1602

GCD(6, 801) = 3

GCD of 264, 600, 882, 801 is 3

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• GCD of 271, 846, 165, 208
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1. What is the GCD of 264, 600, 882, 801?

GCD of 264, 600, 882, 801 is 3

2. Where do I get the detailed procedure to find GCD of 264, 600, 882, 801?

You can find a detailed procedure to find GCD of 264, 600, 882, 801 on our page.

3. How to find GCD of 264, 600, 882, 801 on a calculator?

You can find the GCD of 264, 600, 882, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.