GCD of 754, 308, 820 Calculator

Given Input numbers are 754, 308, 820

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 754, 308, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 308, 820 is 2.

Therefore, GCD of numbers 754, 308, 820 is 2

Given Input Data is 754, 308, 820

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 308 is 2 x 2 x 7 x 11

Prime Factorization of 820 is 2 x 2 x 5 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(754, 308) = 116116

GCD(754, 308) = ( 754 x 308 ) / 116116

GCD(754, 308) = 232232 / 116116

GCD(754, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

GCD of 754, 308, 820 is 2

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1. What is the GCD of 754, 308, 820?

GCD of 754, 308, 820 is 2

2. Where do I get the detailed procedure to find GCD of 754, 308, 820?

You can find a detailed procedure to find GCD of 754, 308, 820 on our page.

3. How to find GCD of 754, 308, 820 on a calculator?

You can find the GCD of 754, 308, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.