GCD of 154, 580, 800 Calculator

Given Input numbers are 154, 580, 800

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 154, 580, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 580, 800 is 2.

Therefore, GCD of numbers 154, 580, 800 is 2

Given Input Data is 154, 580, 800

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 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(154, 580) = 44660

GCD(154, 580) = ( 154 x 580 ) / 44660

GCD(154, 580) = 89320 / 44660

GCD(154, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

GCD of 154, 580, 800 is 2

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• GCD of 145, 703, 371
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1. What is the GCD of 154, 580, 800?

GCD of 154, 580, 800 is 2

2. Where do I get the detailed procedure to find GCD of 154, 580, 800?

You can find a detailed procedure to find GCD of 154, 580, 800 on our page.

3. How to find GCD of 154, 580, 800 on a calculator?

You can find the GCD of 154, 580, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.