GCD of 300, 396, 662 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 300, 396, 662 quickly. Get the easiest ways to solve the greatest common divisor of 300, 396, 662 i.e 2 in different methods as follows.
Given Input numbers are 300, 396, 662
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
GCD of numbers is the greatest common divisor
So, the GCD (300, 396, 662) = 2.
Given numbers are 300, 396, 662
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 662 are 2 x 331
The highest common occurrence is 21
Therefore, GCD of 300, 396, 662 is 2.
Steps to Calculate GCD of 300, 396, 662 using LCM Formula
Given numbers are 300, 396, 662
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 396) = 9900
GCD(300, 396) = ( 300 x 396 ) / 9900
= 300 / 396
= 300
Step2:
LCM(12, 662) = 3972
GCD(12, 662) = ( 12 x 662 ) / 3972
= 12 / 662
= 12
So, Greatest Common Divisor of 300, 396, 662 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 300, 396, 662
Given numbers are 300, 396, 662
The greatest common divisor of numbers 300, 396, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 396, 662 is 2.
FAQs on GCD of 300, 396, 662 Calculator
1. What is the GCD of 300, 396, 662?
GCD of given numbers 300, 396, 662 is 2
2. How to calculate the greatest common divisor of 300, 396, 662?
We can find the highest common divisor of 300, 396, 662 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 300, 396, 662 i.e 2.
3. How can I use the GCD of 300, 396, 662Calculator?
Out the numbers 300, 396, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.