GCD of 898, 636, 660 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 898, 636, 660 quickly. Get the easiest ways to solve the greatest common divisor of 898, 636, 660 i.e 2 in different methods as follows.
Given Input numbers are 898, 636, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (898, 636, 660) = 2.
Given numbers are 898, 636, 660
The list of prime factors of all numbers are
Prime factors of 898 are 2 x 449
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 898, 636, 660 is 2.
Steps to Calculate GCD of 898, 636, 660 using LCM Formula
Given numbers are 898, 636, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(898, 636) = 285564
GCD(898, 636) = ( 898 x 636 ) / 285564
= 898 / 636
= 898
Step2:
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
= 2 / 660
= 2
So, Greatest Common Divisor of 898, 636, 660 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 898, 636, 660
Given numbers are 898, 636, 660
The greatest common divisor of numbers 898, 636, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 636, 660 is 2.
FAQs on GCD of 898, 636, 660 Calculator
1. What is the GCD of 898, 636, 660?
GCD of given numbers 898, 636, 660 is 2
2. How to calculate the greatest common divisor of 898, 636, 660?
We can find the highest common divisor of 898, 636, 660 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 898, 636, 660 i.e 2.
3. How can I use the GCD of 898, 636, 660Calculator?
Out the numbers 898, 636, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.