GCD of 857, 171, 84, 240 Calculator

Given Input numbers are 857, 171, 84, 240

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

Divisors of 857

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

1, 857

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 857, 171, 84, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 171, 84, 240 is 1.

Therefore, GCD of numbers 857, 171, 84, 240 is 1

Given Input Data is 857, 171, 84, 240

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

Prime Factorization of 857 is 857

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 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(857, 171) = 146547

GCD(857, 171) = ( 857 x 171 ) / 146547

GCD(857, 171) = 146547 / 146547

GCD(857, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 857, 171, 84, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 989, 79, 203
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• GCD of 813, 242, 25, 948

1. What is the GCD of 857, 171, 84, 240?

GCD of 857, 171, 84, 240 is 1

2. Where do I get the detailed procedure to find GCD of 857, 171, 84, 240?

You can find a detailed procedure to find GCD of 857, 171, 84, 240 on our page.

3. How to find GCD of 857, 171, 84, 240 on a calculator?

You can find the GCD of 857, 171, 84, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.