GCD of 804, 280, 160, 554 Calculator

Given Input numbers are 804, 280, 160, 554

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 804, 280, 160, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 280, 160, 554 is 2.

Therefore, GCD of numbers 804, 280, 160, 554 is 2

Given Input Data is 804, 280, 160, 554

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 554 is 2 x 277

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(804, 280) = 56280

GCD(804, 280) = ( 804 x 280 ) / 56280

GCD(804, 280) = 225120 / 56280

GCD(804, 280) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 160

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

LCM(4, 160) = 160

GCD(4, 160) = ( 4 x 160 ) / 160

GCD(4, 160) = 640 / 160

GCD(4, 160) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 554

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

LCM(4, 554) = 1108

GCD(4, 554) = ( 4 x 554 ) / 1108

GCD(4, 554) = 2216 / 1108

GCD(4, 554) = 2

GCD of 804, 280, 160, 554 is 2

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1. What is the GCD of 804, 280, 160, 554?

GCD of 804, 280, 160, 554 is 2

2. Where do I get the detailed procedure to find GCD of 804, 280, 160, 554?

You can find a detailed procedure to find GCD of 804, 280, 160, 554 on our page.

3. How to find GCD of 804, 280, 160, 554 on a calculator?

You can find the GCD of 804, 280, 160, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.