GCD of 861, 840, 857, 500 Calculator

Given Input numbers are 861, 840, 857, 500

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 857

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

1, 857

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 861, 840, 857, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 840, 857, 500 is 1.

Therefore, GCD of numbers 861, 840, 857, 500 is 1

Given Input Data is 861, 840, 857, 500

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 857 is 857

Prime Factorization of 500 is 2 x 2 x 5 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(861, 840) = 34440

GCD(861, 840) = ( 861 x 840 ) / 34440

GCD(861, 840) = 723240 / 34440

GCD(861, 840) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 857

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

LCM(21, 857) = 17997

GCD(21, 857) = ( 21 x 857 ) / 17997

GCD(21, 857) = 17997 / 17997

GCD(21, 857) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 861, 840, 857, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 173, 740, 341
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• GCD of 203, 725, 303, 397

1. What is the GCD of 861, 840, 857, 500?

GCD of 861, 840, 857, 500 is 1

2. Where do I get the detailed procedure to find GCD of 861, 840, 857, 500?

You can find a detailed procedure to find GCD of 861, 840, 857, 500 on our page.

3. How to find GCD of 861, 840, 857, 500 on a calculator?

You can find the GCD of 861, 840, 857, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.