GCD of 168, 520, 512, 200 Calculator

Given Input numbers are 168, 520, 512, 200

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 512

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

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 168, 520, 512, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 520, 512, 200 is 8.

Therefore, GCD of numbers 168, 520, 512, 200 is 8

Given Input Data is 168, 520, 512, 200

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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(168, 520) = 10920

GCD(168, 520) = ( 168 x 520 ) / 10920

GCD(168, 520) = 87360 / 10920

GCD(168, 520) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 512

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

LCM(8, 512) = 512

GCD(8, 512) = ( 8 x 512 ) / 512

GCD(8, 512) = 4096 / 512

GCD(8, 512) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 200

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

LCM(8, 200) = 200

GCD(8, 200) = ( 8 x 200 ) / 200

GCD(8, 200) = 1600 / 200

GCD(8, 200) = 8

GCD of 168, 520, 512, 200 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 591, 683, 102
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• GCD of 388, 736, 100, 114
• GCD of 884, 928, 161, 411
• GCD of 765, 496, 106, 933

1. What is the GCD of 168, 520, 512, 200?

GCD of 168, 520, 512, 200 is 8

2. Where do I get the detailed procedure to find GCD of 168, 520, 512, 200?

You can find a detailed procedure to find GCD of 168, 520, 512, 200 on our page.

3. How to find GCD of 168, 520, 512, 200 on a calculator?

You can find the GCD of 168, 520, 512, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.