GCD of 840, 724, 618, 806 Calculator

Given Input numbers are 840, 724, 618, 806

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

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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 840, 724, 618, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 724, 618, 806 is 2.

Therefore, GCD of numbers 840, 724, 618, 806 is 2

Given Input Data is 840, 724, 618, 806

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

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 806 is 2 x 13 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(840, 724) = 152040

GCD(840, 724) = ( 840 x 724 ) / 152040

GCD(840, 724) = 608160 / 152040

GCD(840, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 618

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

LCM(4, 618) = 1236

GCD(4, 618) = ( 4 x 618 ) / 1236

GCD(4, 618) = 2472 / 1236

GCD(4, 618) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 806

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

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

GCD(2, 806) = 1612 / 806

GCD(2, 806) = 2

GCD of 840, 724, 618, 806 is 2

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1. What is the GCD of 840, 724, 618, 806?

GCD of 840, 724, 618, 806 is 2

2. Where do I get the detailed procedure to find GCD of 840, 724, 618, 806?

You can find a detailed procedure to find GCD of 840, 724, 618, 806 on our page.

3. How to find GCD of 840, 724, 618, 806 on a calculator?

You can find the GCD of 840, 724, 618, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.