GCD of 85, 880, 218, 690 Calculator

Given Input numbers are 85, 880, 218, 690

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 218

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

1, 2, 109, 218

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

Greatest Common Divisior

We found the divisors of 85, 880, 218, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 880, 218, 690 is 1.

Therefore, GCD of numbers 85, 880, 218, 690 is 1

Given Input Data is 85, 880, 218, 690

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 218 is 2 x 109

Prime Factorization of 690 is 2 x 3 x 5 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(85, 880) = 14960

GCD(85, 880) = ( 85 x 880 ) / 14960

GCD(85, 880) = 74800 / 14960

GCD(85, 880) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 218

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

LCM(5, 218) = 1090

GCD(5, 218) = ( 5 x 218 ) / 1090

GCD(5, 218) = 1090 / 1090

GCD(5, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 85, 880, 218, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 996, 931, 709
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• GCD of 15, 796, 727, 485

1. What is the GCD of 85, 880, 218, 690?

GCD of 85, 880, 218, 690 is 1

2. Where do I get the detailed procedure to find GCD of 85, 880, 218, 690?

You can find a detailed procedure to find GCD of 85, 880, 218, 690 on our page.

3. How to find GCD of 85, 880, 218, 690 on a calculator?

You can find the GCD of 85, 880, 218, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.