GCD of 209, 920, 661, 870 Calculator

Given Input numbers are 209, 920, 661, 870

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 209, 920, 661, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 920, 661, 870 is 1.

Therefore, GCD of numbers 209, 920, 661, 870 is 1

Given Input Data is 209, 920, 661, 870

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 661 is 661

Prime Factorization of 870 is 2 x 3 x 5 x 29

The above numbers do not have any common prime factor. So GCD is 1

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(209, 920) = 192280

GCD(209, 920) = ( 209 x 920 ) / 192280

GCD(209, 920) = 192280 / 192280

GCD(209, 920) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 209, 920, 661, 870 is 1

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1. What is the GCD of 209, 920, 661, 870?

GCD of 209, 920, 661, 870 is 1

2. Where do I get the detailed procedure to find GCD of 209, 920, 661, 870?

You can find a detailed procedure to find GCD of 209, 920, 661, 870 on our page.

3. How to find GCD of 209, 920, 661, 870 on a calculator?

You can find the GCD of 209, 920, 661, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.