GCD of 854, 985, 16, 890 Calculator

Given Input numbers are 854, 985, 16, 890

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 890

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

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

Greatest Common Divisior

We found the divisors of 854, 985, 16, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 985, 16, 890 is 1.

Therefore, GCD of numbers 854, 985, 16, 890 is 1

Given Input Data is 854, 985, 16, 890

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 985 is 5 x 197

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 890 is 2 x 5 x 89

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(854, 985) = 841190

GCD(854, 985) = ( 854 x 985 ) / 841190

GCD(854, 985) = 841190 / 841190

GCD(854, 985) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 854, 985, 16, 890 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 876, 56, 980
• GCD of 142, 393, 20, 267
• GCD of 748, 957, 55, 238
• GCD of 277, 502, 35, 287
• GCD of 420, 498, 31, 326

1. What is the GCD of 854, 985, 16, 890?

GCD of 854, 985, 16, 890 is 1

2. Where do I get the detailed procedure to find GCD of 854, 985, 16, 890?

You can find a detailed procedure to find GCD of 854, 985, 16, 890 on our page.

3. How to find GCD of 854, 985, 16, 890 on a calculator?

You can find the GCD of 854, 985, 16, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.