GCD of 100, 857, 170, 551 Calculator

Given Input numbers are 100, 857, 170, 551

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Greatest Common Divisior

We found the divisors of 100, 857, 170, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 857, 170, 551 is 1.

Therefore, GCD of numbers 100, 857, 170, 551 is 1

Given Input Data is 100, 857, 170, 551

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 857 is 857

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 551 is 19 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(100, 857) = 85700

GCD(100, 857) = ( 100 x 857 ) / 85700

GCD(100, 857) = 85700 / 85700

GCD(100, 857) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 551

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

LCM(1, 551) = 551

GCD(1, 551) = ( 1 x 551 ) / 551

GCD(1, 551) = 551 / 551

GCD(1, 551) = 1

GCD of 100, 857, 170, 551 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 338, 945, 495
• GCD of 891, 180, 537, 115
• GCD of 950, 539, 589, 774
• GCD of 860, 835, 169, 825
• GCD of 475, 579, 950, 862

1. What is the GCD of 100, 857, 170, 551?

GCD of 100, 857, 170, 551 is 1

2. Where do I get the detailed procedure to find GCD of 100, 857, 170, 551?

You can find a detailed procedure to find GCD of 100, 857, 170, 551 on our page.

3. How to find GCD of 100, 857, 170, 551 on a calculator?

You can find the GCD of 100, 857, 170, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.