GCD of 840, 367, 21, 657 Calculator

Given Input numbers are 840, 367, 21, 657

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 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 840, 367, 21, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 367, 21, 657 is 1.

Therefore, GCD of numbers 840, 367, 21, 657 is 1

Given Input Data is 840, 367, 21, 657

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 367 is 367

Prime Factorization of 21 is 3 x 7

Prime Factorization of 657 is 3 x 3 x 73

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, 367) = 308280

GCD(840, 367) = ( 840 x 367 ) / 308280

GCD(840, 367) = 308280 / 308280

GCD(840, 367) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 840, 367, 21, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 462, 53, 231
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• GCD of 582, 655, 60, 244
• GCD of 119, 937, 27, 137
• GCD of 301, 848, 42, 521

1. What is the GCD of 840, 367, 21, 657?

GCD of 840, 367, 21, 657 is 1

2. Where do I get the detailed procedure to find GCD of 840, 367, 21, 657?

You can find a detailed procedure to find GCD of 840, 367, 21, 657 on our page.

3. How to find GCD of 840, 367, 21, 657 on a calculator?

You can find the GCD of 840, 367, 21, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.