GCD of 995, 900, 16, 698 Calculator

Given Input numbers are 995, 900, 16, 698

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

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 995, 900, 16, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 900, 16, 698 is 1.

Therefore, GCD of numbers 995, 900, 16, 698 is 1

Given Input Data is 995, 900, 16, 698

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

Prime Factorization of 995 is 5 x 199

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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

Prime Factorization of 698 is 2 x 349

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(995, 900) = 179100

GCD(995, 900) = ( 995 x 900 ) / 179100

GCD(995, 900) = 895500 / 179100

GCD(995, 900) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 16

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

LCM(5, 16) = 80

GCD(5, 16) = ( 5 x 16 ) / 80

GCD(5, 16) = 80 / 80

GCD(5, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 995, 900, 16, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 814, 36, 727
• GCD of 499, 675, 81, 975
• GCD of 273, 332, 50, 708
• GCD of 966, 347, 83, 388
• GCD of 470, 954, 90, 847

1. What is the GCD of 995, 900, 16, 698?

GCD of 995, 900, 16, 698 is 1

2. Where do I get the detailed procedure to find GCD of 995, 900, 16, 698?

You can find a detailed procedure to find GCD of 995, 900, 16, 698 on our page.

3. How to find GCD of 995, 900, 16, 698 on a calculator?

You can find the GCD of 995, 900, 16, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.