GCD of 210, 166, 524, 720 Calculator

Given Input numbers are 210, 166, 524, 720

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 210, 166, 524, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 166, 524, 720 is 2.

Therefore, GCD of numbers 210, 166, 524, 720 is 2

Given Input Data is 210, 166, 524, 720

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 166 is 2 x 83

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(210, 166) = 17430

GCD(210, 166) = ( 210 x 166 ) / 17430

GCD(210, 166) = 34860 / 17430

GCD(210, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 524

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

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

GCD(2, 524) = 1048 / 524

GCD(2, 524) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

GCD of 210, 166, 524, 720 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 124, 983, 547
• GCD of 168, 868, 230, 127
• GCD of 580, 815, 964, 117
• GCD of 479, 458, 771, 497
• GCD of 187, 658, 234, 559

1. What is the GCD of 210, 166, 524, 720?

GCD of 210, 166, 524, 720 is 2

2. Where do I get the detailed procedure to find GCD of 210, 166, 524, 720?

You can find a detailed procedure to find GCD of 210, 166, 524, 720 on our page.

3. How to find GCD of 210, 166, 524, 720 on a calculator?

You can find the GCD of 210, 166, 524, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.