GCD of 572, 840, 16, 914 Calculator

Given Input numbers are 572, 840, 16, 914

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 572, 840, 16, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 840, 16, 914 is 2.

Therefore, GCD of numbers 572, 840, 16, 914 is 2

Given Input Data is 572, 840, 16, 914

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 914 is 2 x 457

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(572, 840) = 120120

GCD(572, 840) = ( 572 x 840 ) / 120120

GCD(572, 840) = 480480 / 120120

GCD(572, 840) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 16

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

LCM(4, 16) = 16

GCD(4, 16) = ( 4 x 16 ) / 16

GCD(4, 16) = 64 / 16

GCD(4, 16) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 914

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

LCM(4, 914) = 1828

GCD(4, 914) = ( 4 x 914 ) / 1828

GCD(4, 914) = 3656 / 1828

GCD(4, 914) = 2

GCD of 572, 840, 16, 914 is 2

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1. What is the GCD of 572, 840, 16, 914?

GCD of 572, 840, 16, 914 is 2

2. Where do I get the detailed procedure to find GCD of 572, 840, 16, 914?

You can find a detailed procedure to find GCD of 572, 840, 16, 914 on our page.

3. How to find GCD of 572, 840, 16, 914 on a calculator?

You can find the GCD of 572, 840, 16, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.