GCD of 840, 472, 280 Calculator

Given Input numbers are 840, 472, 280

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

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 840, 472, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 472, 280 is 8.

Therefore, GCD of numbers 840, 472, 280 is 8

Given Input Data is 840, 472, 280

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 472 is 2 x 2 x 2 x 59

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

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(840, 472) = 49560

GCD(840, 472) = ( 840 x 472 ) / 49560

GCD(840, 472) = 396480 / 49560

GCD(840, 472) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 280

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

LCM(8, 280) = 280

GCD(8, 280) = ( 8 x 280 ) / 280

GCD(8, 280) = 2240 / 280

GCD(8, 280) = 8

GCD of 840, 472, 280 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 583, 286
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• GCD of 633, 911, 359
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1. What is the GCD of 840, 472, 280?

GCD of 840, 472, 280 is 8

2. Where do I get the detailed procedure to find GCD of 840, 472, 280?

You can find a detailed procedure to find GCD of 840, 472, 280 on our page.

3. How to find GCD of 840, 472, 280 on a calculator?

You can find the GCD of 840, 472, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.