GCD of 840, 334, 187, 704 Calculator

Given Input numbers are 840, 334, 187, 704

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 840, 334, 187, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 334, 187, 704 is 1.

Therefore, GCD of numbers 840, 334, 187, 704 is 1

Given Input Data is 840, 334, 187, 704

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 334 is 2 x 167

Prime Factorization of 187 is 11 x 17

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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, 334) = 140280

GCD(840, 334) = ( 840 x 334 ) / 140280

GCD(840, 334) = 280560 / 140280

GCD(840, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 187

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

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

GCD(2, 187) = 374 / 374

GCD(2, 187) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 840, 334, 187, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 210, 429, 911
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1. What is the GCD of 840, 334, 187, 704?

GCD of 840, 334, 187, 704 is 1

2. Where do I get the detailed procedure to find GCD of 840, 334, 187, 704?

You can find a detailed procedure to find GCD of 840, 334, 187, 704 on our page.

3. How to find GCD of 840, 334, 187, 704 on a calculator?

You can find the GCD of 840, 334, 187, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.