GCD of 465, 972, 822 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 465, 972, 822 quickly. Get the easiest ways to solve the greatest common divisor of 465, 972, 822 i.e 3 in different methods as follows.
Given Input numbers are 465, 972, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (465, 972, 822) = 3.
Given numbers are 465, 972, 822
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 31
Therefore, GCD of 465, 972, 822 is 3.
Steps to Calculate GCD of 465, 972, 822 using LCM Formula
Given numbers are 465, 972, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 972) = 150660
GCD(465, 972) = ( 465 x 972 ) / 150660
= 465 / 972
= 465
Step2:
LCM(3, 822) = 822
GCD(3, 822) = ( 3 x 822 ) / 822
= 3 / 822
= 3
So, Greatest Common Divisor of 465, 972, 822 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 465, 972, 822
Given numbers are 465, 972, 822
The greatest common divisor of numbers 465, 972, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 972, 822 is 3.
FAQs on GCD of 465, 972, 822 Calculator
1. What is the GCD of 465, 972, 822?
GCD of given numbers 465, 972, 822 is 3
2. How to calculate the greatest common divisor of 465, 972, 822?
We can find the highest common divisor of 465, 972, 822 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 465, 972, 822 i.e 3.
3. How can I use the GCD of 465, 972, 822Calculator?
Out the numbers 465, 972, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.