GCD of 146, 666, 698 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 146, 666, 698 i.e. 2 largest integer that divides all the numbers equally.

GCD of 146, 666, 698 is 2

GCD(146, 666, 698) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 146, 666, 698 is 2

GCD(146, 666, 698) = 2

GCD of 146,666,698 Calculator

GCDof 146,666,698 is 2

Given Input numbers are 146, 666, 698

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

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 146, 666, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 666, 698 is 2.

Therefore, GCD of numbers 146, 666, 698 is 2

Finding GCD of 146, 666, 698 using Prime Factorization

Given Input Data is 146, 666, 698

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 698 is 2 x 349

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 146, 666, 698 using LCM Formula

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(146, 666) = 48618

GCD(146, 666) = ( 146 x 666 ) / 48618

GCD(146, 666) = 97236 / 48618

GCD(146, 666) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

GCD of 146, 666, 698 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 146, 666, 698

1. What is the GCD of 146, 666, 698?

GCD of 146, 666, 698 is 2


2. Where do I get the detailed procedure to find GCD of 146, 666, 698?

You can find a detailed procedure to find GCD of 146, 666, 698 on our page.


3. How to find GCD of 146, 666, 698 on a calculator?

You can find the GCD of 146, 666, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.