GCD of 854, 820, 407, 698 Calculator

Given Input numbers are 854, 820, 407, 698

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 854, 820, 407, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 820, 407, 698 is 1.

Therefore, GCD of numbers 854, 820, 407, 698 is 1

Given Input Data is 854, 820, 407, 698

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 407 is 11 x 37

Prime Factorization of 698 is 2 x 349

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(854, 820) = 350140

GCD(854, 820) = ( 854 x 820 ) / 350140

GCD(854, 820) = 700280 / 350140

GCD(854, 820) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 854, 820, 407, 698 is 1

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1. What is the GCD of 854, 820, 407, 698?

GCD of 854, 820, 407, 698 is 1

2. Where do I get the detailed procedure to find GCD of 854, 820, 407, 698?

You can find a detailed procedure to find GCD of 854, 820, 407, 698 on our page.

3. How to find GCD of 854, 820, 407, 698 on a calculator?

You can find the GCD of 854, 820, 407, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.