GCD of 890, 690, 218, 161 Calculator

Given Input numbers are 890, 690, 218, 161

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

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 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 890, 690, 218, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 690, 218, 161 is 1.

Therefore, GCD of numbers 890, 690, 218, 161 is 1

Given Input Data is 890, 690, 218, 161

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

Prime Factorization of 890 is 2 x 5 x 89

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 161 is 7 x 23

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(890, 690) = 61410

GCD(890, 690) = ( 890 x 690 ) / 61410

GCD(890, 690) = 614100 / 61410

GCD(890, 690) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 218

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

LCM(10, 218) = 1090

GCD(10, 218) = ( 10 x 218 ) / 1090

GCD(10, 218) = 2180 / 1090

GCD(10, 218) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 161

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

LCM(2, 161) = 322

GCD(2, 161) = ( 2 x 161 ) / 322

GCD(2, 161) = 322 / 322

GCD(2, 161) = 1

GCD of 890, 690, 218, 161 is 1

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1. What is the GCD of 890, 690, 218, 161?

GCD of 890, 690, 218, 161 is 1

2. Where do I get the detailed procedure to find GCD of 890, 690, 218, 161?

You can find a detailed procedure to find GCD of 890, 690, 218, 161 on our page.

3. How to find GCD of 890, 690, 218, 161 on a calculator?

You can find the GCD of 890, 690, 218, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.