GCD of 840, 156, 48, 584 Calculator

Given Input numbers are 840, 156, 48, 584

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 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 840, 156, 48, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 156, 48, 584 is 4.

Therefore, GCD of numbers 840, 156, 48, 584 is 4

Given Input Data is 840, 156, 48, 584

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 156 is 2 x 2 x 3 x 13

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 584 is 2 x 2 x 2 x 73

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 156) = 10920

GCD(840, 156) = ( 840 x 156 ) / 10920

GCD(840, 156) = 131040 / 10920

GCD(840, 156) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 48

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

LCM(12, 48) = 48

GCD(12, 48) = ( 12 x 48 ) / 48

GCD(12, 48) = 576 / 48

GCD(12, 48) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 584

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

LCM(12, 584) = 1752

GCD(12, 584) = ( 12 x 584 ) / 1752

GCD(12, 584) = 7008 / 1752

GCD(12, 584) = 4

GCD of 840, 156, 48, 584 is 4

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1. What is the GCD of 840, 156, 48, 584?

GCD of 840, 156, 48, 584 is 4

2. Where do I get the detailed procedure to find GCD of 840, 156, 48, 584?

You can find a detailed procedure to find GCD of 840, 156, 48, 584 on our page.

3. How to find GCD of 840, 156, 48, 584 on a calculator?

You can find the GCD of 840, 156, 48, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.