GCD of 698, 522, 989, 384 Calculator

Given Input numbers are 698, 522, 989, 384

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

Divisors of 698

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

1, 2, 349, 698

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 698, 522, 989, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 522, 989, 384 is 1.

Therefore, GCD of numbers 698, 522, 989, 384 is 1

Given Input Data is 698, 522, 989, 384

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 989 is 23 x 43

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(698, 522) = 182178

GCD(698, 522) = ( 698 x 522 ) / 182178

GCD(698, 522) = 364356 / 182178

GCD(698, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

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

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 698, 522, 989, 384 is 1

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1. What is the GCD of 698, 522, 989, 384?

GCD of 698, 522, 989, 384 is 1

2. Where do I get the detailed procedure to find GCD of 698, 522, 989, 384?

You can find a detailed procedure to find GCD of 698, 522, 989, 384 on our page.

3. How to find GCD of 698, 522, 989, 384 on a calculator?

You can find the GCD of 698, 522, 989, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.