GCD of 339, 746, 649, 698 Calculator

Given Input numbers are 339, 746, 649, 698

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

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

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 339, 746, 649, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 746, 649, 698 is 1.

Therefore, GCD of numbers 339, 746, 649, 698 is 1

Given Input Data is 339, 746, 649, 698

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 746 is 2 x 373

Prime Factorization of 649 is 11 x 59

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(339, 746) = 252894

GCD(339, 746) = ( 339 x 746 ) / 252894

GCD(339, 746) = 252894 / 252894

GCD(339, 746) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 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 339, 746, 649, 698 is 1

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1. What is the GCD of 339, 746, 649, 698?

GCD of 339, 746, 649, 698 is 1

2. Where do I get the detailed procedure to find GCD of 339, 746, 649, 698?

You can find a detailed procedure to find GCD of 339, 746, 649, 698 on our page.

3. How to find GCD of 339, 746, 649, 698 on a calculator?

You can find the GCD of 339, 746, 649, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.