GCD of 85, 971, 519, 100 Calculator

Given Input numbers are 85, 971, 519, 100

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 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

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

Greatest Common Divisior

We found the divisors of 85, 971, 519, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 971, 519, 100 is 1.

Therefore, GCD of numbers 85, 971, 519, 100 is 1

Given Input Data is 85, 971, 519, 100

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 971 is 971

Prime Factorization of 519 is 3 x 173

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

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, 971) = 82535

GCD(85, 971) = ( 85 x 971 ) / 82535

GCD(85, 971) = 82535 / 82535

GCD(85, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 519

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

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

GCD(1, 519) = 519 / 519

GCD(1, 519) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 85, 971, 519, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 515, 221, 822
• GCD of 77, 859, 890, 657
• GCD of 82, 506, 202, 187
• GCD of 50, 398, 664, 472
• GCD of 63, 720, 964, 868

1. What is the GCD of 85, 971, 519, 100?

GCD of 85, 971, 519, 100 is 1

2. Where do I get the detailed procedure to find GCD of 85, 971, 519, 100?

You can find a detailed procedure to find GCD of 85, 971, 519, 100 on our page.

3. How to find GCD of 85, 971, 519, 100 on a calculator?

You can find the GCD of 85, 971, 519, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.