GCD of 698, 515, 330, 132 Calculator

Given Input numbers are 698, 515, 330, 132

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 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 698, 515, 330, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 515, 330, 132 is 1.

Therefore, GCD of numbers 698, 515, 330, 132 is 1

Given Input Data is 698, 515, 330, 132

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 515 is 5 x 103

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 132 is 2 x 2 x 3 x 11

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, 515) = 359470

GCD(698, 515) = ( 698 x 515 ) / 359470

GCD(698, 515) = 359470 / 359470

GCD(698, 515) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 698, 515, 330, 132 is 1

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1. What is the GCD of 698, 515, 330, 132?

GCD of 698, 515, 330, 132 is 1

2. Where do I get the detailed procedure to find GCD of 698, 515, 330, 132?

You can find a detailed procedure to find GCD of 698, 515, 330, 132 on our page.

3. How to find GCD of 698, 515, 330, 132 on a calculator?

You can find the GCD of 698, 515, 330, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.