GCD of 840, 105, 480 Calculator

Given Input numbers are 840, 105, 480

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 840, 105, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 105, 480 is 15.

Therefore, GCD of numbers 840, 105, 480 is 15

Given Input Data is 840, 105, 480

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 105 is 3 x 5 x 7

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 3¹ x 5¹

Multiplying them we get the GCD as 15

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, 105) = 840

GCD(840, 105) = ( 840 x 105 ) / 840

GCD(840, 105) = 88200 / 840

GCD(840, 105) = 105

Step2:

Here we consider the GCD from the above i.e. 105 as first number and the next as 480

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

LCM(105, 480) = 3360

GCD(105, 480) = ( 105 x 480 ) / 3360

GCD(105, 480) = 50400 / 3360

GCD(105, 480) = 15

GCD of 840, 105, 480 is 15

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• GCD of 481, 336, 781
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1. What is the GCD of 840, 105, 480?

GCD of 840, 105, 480 is 15

2. Where do I get the detailed procedure to find GCD of 840, 105, 480?

You can find a detailed procedure to find GCD of 840, 105, 480 on our page.

3. How to find GCD of 840, 105, 480 on a calculator?

You can find the GCD of 840, 105, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.