GCD of 462, 660, 900 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 462, 660, 900 quickly. Get the easiest ways to solve the greatest common divisor of 462, 660, 900 i.e 6 in different methods as follows.
Given Input numbers are 462, 660, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
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
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (462, 660, 900) = 6.
Given numbers are 462, 660, 900
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21 x 31
Therefore, GCD of 462, 660, 900 is 6.
Steps to Calculate GCD of 462, 660, 900 using LCM Formula
Given numbers are 462, 660, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 660) = 4620
GCD(462, 660) = ( 462 x 660 ) / 4620
= 462 / 660
= 462
Step2:
LCM(66, 900) = 9900
GCD(66, 900) = ( 66 x 900 ) / 9900
= 66 / 900
= 66
So, Greatest Common Divisor of 462, 660, 900 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 462, 660, 900
Given numbers are 462, 660, 900
The greatest common divisor of numbers 462, 660, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 660, 900 is 6.
FAQs on GCD of 462, 660, 900 Calculator
1. What is the GCD of 462, 660, 900?
GCD of given numbers 462, 660, 900 is 6
2. How to calculate the greatest common divisor of 462, 660, 900?
We can find the highest common divisor of 462, 660, 900 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 462, 660, 900 i.e 6.
3. How can I use the GCD of 462, 660, 900Calculator?
Out the numbers 462, 660, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.