GCD of 828, 514, 758 Calculator

Given Input numbers are 828, 514, 758

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 828, 514, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 514, 758 is 2.

Therefore, GCD of numbers 828, 514, 758 is 2

Given Input Data is 828, 514, 758

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 514 is 2 x 257

Prime Factorization of 758 is 2 x 379

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(828, 514) = 212796

GCD(828, 514) = ( 828 x 514 ) / 212796

GCD(828, 514) = 425592 / 212796

GCD(828, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

GCD of 828, 514, 758 is 2

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1. What is the GCD of 828, 514, 758?

GCD of 828, 514, 758 is 2

2. Where do I get the detailed procedure to find GCD of 828, 514, 758?

You can find a detailed procedure to find GCD of 828, 514, 758 on our page.

3. How to find GCD of 828, 514, 758 on a calculator?

You can find the GCD of 828, 514, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.