GCD of 754, 284, 426 Calculator

Given Input numbers are 754, 284, 426

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 754, 284, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 284, 426 is 2.

Therefore, GCD of numbers 754, 284, 426 is 2

Given Input Data is 754, 284, 426

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 426 is 2 x 3 x 71

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(754, 284) = 107068

GCD(754, 284) = ( 754 x 284 ) / 107068

GCD(754, 284) = 214136 / 107068

GCD(754, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 426

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

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

GCD(2, 426) = 852 / 426

GCD(2, 426) = 2

GCD of 754, 284, 426 is 2

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1. What is the GCD of 754, 284, 426?

GCD of 754, 284, 426 is 2

2. Where do I get the detailed procedure to find GCD of 754, 284, 426?

You can find a detailed procedure to find GCD of 754, 284, 426 on our page.

3. How to find GCD of 754, 284, 426 on a calculator?

You can find the GCD of 754, 284, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.