GCD of 698, 963, 220, 438 Calculator

Given Input numbers are 698, 963, 220, 438

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 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 698, 963, 220, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 963, 220, 438 is 1.

Therefore, GCD of numbers 698, 963, 220, 438 is 1

Given Input Data is 698, 963, 220, 438

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 438 is 2 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(698, 963) = 672174

GCD(698, 963) = ( 698 x 963 ) / 672174

GCD(698, 963) = 672174 / 672174

GCD(698, 963) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 698, 963, 220, 438 is 1

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1. What is the GCD of 698, 963, 220, 438?

GCD of 698, 963, 220, 438 is 1

2. Where do I get the detailed procedure to find GCD of 698, 963, 220, 438?

You can find a detailed procedure to find GCD of 698, 963, 220, 438 on our page.

3. How to find GCD of 698, 963, 220, 438 on a calculator?

You can find the GCD of 698, 963, 220, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.