GCD of 840, 287, 643, 138 Calculator

Given Input numbers are 840, 287, 643, 138

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 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 840, 287, 643, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 287, 643, 138 is 1.

Therefore, GCD of numbers 840, 287, 643, 138 is 1

Given Input Data is 840, 287, 643, 138

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 287 is 7 x 41

Prime Factorization of 643 is 643

Prime Factorization of 138 is 2 x 3 x 23

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(840, 287) = 34440

GCD(840, 287) = ( 840 x 287 ) / 34440

GCD(840, 287) = 241080 / 34440

GCD(840, 287) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 643

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

LCM(7, 643) = 4501

GCD(7, 643) = ( 7 x 643 ) / 4501

GCD(7, 643) = 4501 / 4501

GCD(7, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 840, 287, 643, 138 is 1

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1. What is the GCD of 840, 287, 643, 138?

GCD of 840, 287, 643, 138 is 1

2. Where do I get the detailed procedure to find GCD of 840, 287, 643, 138?

You can find a detailed procedure to find GCD of 840, 287, 643, 138 on our page.

3. How to find GCD of 840, 287, 643, 138 on a calculator?

You can find the GCD of 840, 287, 643, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.