GCD of 824, 766, 574 Calculator

Given Input numbers are 824, 766, 574

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 824, 766, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 766, 574 is 2.

Therefore, GCD of numbers 824, 766, 574 is 2

Given Input Data is 824, 766, 574

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 766 is 2 x 383

Prime Factorization of 574 is 2 x 7 x 41

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(824, 766) = 315592

GCD(824, 766) = ( 824 x 766 ) / 315592

GCD(824, 766) = 631184 / 315592

GCD(824, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 574

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

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

GCD(2, 574) = 1148 / 574

GCD(2, 574) = 2

GCD of 824, 766, 574 is 2

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1. What is the GCD of 824, 766, 574?

GCD of 824, 766, 574 is 2

2. Where do I get the detailed procedure to find GCD of 824, 766, 574?

You can find a detailed procedure to find GCD of 824, 766, 574 on our page.

3. How to find GCD of 824, 766, 574 on a calculator?

You can find the GCD of 824, 766, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.