GCD of 826, 430, 74 Calculator

Given Input numbers are 826, 430, 74

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 826, 430, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 430, 74 is 2.

Therefore, GCD of numbers 826, 430, 74 is 2

Given Input Data is 826, 430, 74

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 74 is 2 x 37

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(826, 430) = 177590

GCD(826, 430) = ( 826 x 430 ) / 177590

GCD(826, 430) = 355180 / 177590

GCD(826, 430) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

GCD of 826, 430, 74 is 2

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1. What is the GCD of 826, 430, 74?

GCD of 826, 430, 74 is 2

2. Where do I get the detailed procedure to find GCD of 826, 430, 74?

You can find a detailed procedure to find GCD of 826, 430, 74 on our page.

3. How to find GCD of 826, 430, 74 on a calculator?

You can find the GCD of 826, 430, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.