GCD of 208, 690, 560 Calculator

Given Input numbers are 208, 690, 560

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 208, 690, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 690, 560 is 2.

Therefore, GCD of numbers 208, 690, 560 is 2

Given Input Data is 208, 690, 560

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 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(208, 690) = 71760

GCD(208, 690) = ( 208 x 690 ) / 71760

GCD(208, 690) = 143520 / 71760

GCD(208, 690) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

GCD of 208, 690, 560 is 2

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1. What is the GCD of 208, 690, 560?

GCD of 208, 690, 560 is 2

2. Where do I get the detailed procedure to find GCD of 208, 690, 560?

You can find a detailed procedure to find GCD of 208, 690, 560 on our page.

3. How to find GCD of 208, 690, 560 on a calculator?

You can find the GCD of 208, 690, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.