GCD of 676, 600, 404, 270 Calculator

Given Input numbers are 676, 600, 404, 270

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 676, 600, 404, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 600, 404, 270 is 2.

Therefore, GCD of numbers 676, 600, 404, 270 is 2

Given Input Data is 676, 600, 404, 270

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(676, 600) = 101400

GCD(676, 600) = ( 676 x 600 ) / 101400

GCD(676, 600) = 405600 / 101400

GCD(676, 600) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 404

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

LCM(4, 404) = 404

GCD(4, 404) = ( 4 x 404 ) / 404

GCD(4, 404) = 1616 / 404

GCD(4, 404) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 270

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

LCM(4, 270) = 540

GCD(4, 270) = ( 4 x 270 ) / 540

GCD(4, 270) = 1080 / 540

GCD(4, 270) = 2

GCD of 676, 600, 404, 270 is 2

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1. What is the GCD of 676, 600, 404, 270?

GCD of 676, 600, 404, 270 is 2

2. Where do I get the detailed procedure to find GCD of 676, 600, 404, 270?

You can find a detailed procedure to find GCD of 676, 600, 404, 270 on our page.

3. How to find GCD of 676, 600, 404, 270 on a calculator?

You can find the GCD of 676, 600, 404, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.