GCD of 698, 779, 318, 921 Calculator

Given Input numbers are 698, 779, 318, 921

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 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 698, 779, 318, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 779, 318, 921 is 1.

Therefore, GCD of numbers 698, 779, 318, 921 is 1

Given Input Data is 698, 779, 318, 921

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 779 is 19 x 41

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 921 is 3 x 307

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, 779) = 543742

GCD(698, 779) = ( 698 x 779 ) / 543742

GCD(698, 779) = 543742 / 543742

GCD(698, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 698, 779, 318, 921 is 1

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1. What is the GCD of 698, 779, 318, 921?

GCD of 698, 779, 318, 921 is 1

2. Where do I get the detailed procedure to find GCD of 698, 779, 318, 921?

You can find a detailed procedure to find GCD of 698, 779, 318, 921 on our page.

3. How to find GCD of 698, 779, 318, 921 on a calculator?

You can find the GCD of 698, 779, 318, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.