GCD of 844, 508, 342, 280 Calculator

Given Input numbers are 844, 508, 342, 280

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

Greatest Common Divisior

We found the divisors of 844, 508, 342, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 508, 342, 280 is 2.

Therefore, GCD of numbers 844, 508, 342, 280 is 2

Given Input Data is 844, 508, 342, 280

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 342 is 2 x 3 x 3 x 19

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

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(844, 508) = 107188

GCD(844, 508) = ( 844 x 508 ) / 107188

GCD(844, 508) = 428752 / 107188

GCD(844, 508) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 342

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

LCM(4, 342) = 684

GCD(4, 342) = ( 4 x 342 ) / 684

GCD(4, 342) = 1368 / 684

GCD(4, 342) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 280

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

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

GCD(2, 280) = 560 / 280

GCD(2, 280) = 2

GCD of 844, 508, 342, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 394, 988, 773
• GCD of 519, 911, 487, 702
• GCD of 800, 750, 116, 175
• GCD of 669, 364, 759, 719
• GCD of 170, 187, 692, 508

1. What is the GCD of 844, 508, 342, 280?

GCD of 844, 508, 342, 280 is 2

2. Where do I get the detailed procedure to find GCD of 844, 508, 342, 280?

You can find a detailed procedure to find GCD of 844, 508, 342, 280 on our page.

3. How to find GCD of 844, 508, 342, 280 on a calculator?

You can find the GCD of 844, 508, 342, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.