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 numbers 146, 666, 698 is 2
GCD(146, 666, 698) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.