GCD of 520, 846, 74, 512 Calculator

Given Input numbers are 520, 846, 74, 512

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 520, 846, 74, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 846, 74, 512 is 2.

Therefore, GCD of numbers 520, 846, 74, 512 is 2

Given Input Data is 520, 846, 74, 512

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 74 is 2 x 37

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(520, 846) = 219960

GCD(520, 846) = ( 520 x 846 ) / 219960

GCD(520, 846) = 439920 / 219960

GCD(520, 846) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 512

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

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

GCD(2, 512) = 1024 / 512

GCD(2, 512) = 2

GCD of 520, 846, 74, 512 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 368, 63, 606
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• GCD of 908, 233, 81, 328
• GCD of 390, 224, 54, 940
• GCD of 199, 901, 58, 506

1. What is the GCD of 520, 846, 74, 512?

GCD of 520, 846, 74, 512 is 2

2. Where do I get the detailed procedure to find GCD of 520, 846, 74, 512?

You can find a detailed procedure to find GCD of 520, 846, 74, 512 on our page.

3. How to find GCD of 520, 846, 74, 512 on a calculator?

You can find the GCD of 520, 846, 74, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.