GCD of 690, 568, 100, 210 Calculator

Given Input numbers are 690, 568, 100, 210

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

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

Greatest Common Divisior

We found the divisors of 690, 568, 100, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 568, 100, 210 is 2.

Therefore, GCD of numbers 690, 568, 100, 210 is 2

Given Input Data is 690, 568, 100, 210

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 100 is 2 x 2 x 5 x 5

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

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(690, 568) = 195960

GCD(690, 568) = ( 690 x 568 ) / 195960

GCD(690, 568) = 391920 / 195960

GCD(690, 568) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 690, 568, 100, 210 is 2

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1. What is the GCD of 690, 568, 100, 210?

GCD of 690, 568, 100, 210 is 2

2. Where do I get the detailed procedure to find GCD of 690, 568, 100, 210?

You can find a detailed procedure to find GCD of 690, 568, 100, 210 on our page.

3. How to find GCD of 690, 568, 100, 210 on a calculator?

You can find the GCD of 690, 568, 100, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.