GCD of 351, 264, 30 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 351, 264, 30 quickly. Get the easiest ways to solve the greatest common divisor of 351, 264, 30 i.e 3 in different methods as follows.
Given Input numbers are 351, 264, 30
In the factoring method, we have to find the divisors of all numbers
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 30 :
The positive integer divisors of 30 that completely divides 30 are.
1, 2, 3, 5, 6, 10, 15, 30
GCD of numbers is the greatest common divisor
So, the GCD (351, 264, 30) = 3.
Given numbers are 351, 264, 30
The list of prime factors of all numbers are
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 30 are 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 351, 264, 30 is 3.
Steps to Calculate GCD of 351, 264, 30 using LCM Formula
Given numbers are 351, 264, 30
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(351, 264) = 30888
GCD(351, 264) = ( 351 x 264 ) / 30888
= 351 / 264
= 351
Step2:
LCM(3, 30) = 30
GCD(3, 30) = ( 3 x 30 ) / 30
= 3 / 30
= 3
So, Greatest Common Divisor of 351, 264, 30 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 351, 264, 30
Given numbers are 351, 264, 30
The greatest common divisor of numbers 351, 264, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 264, 30 is 3.
FAQs on GCD of 351, 264, 30 Calculator
1. What is the GCD of 351, 264, 30?
GCD of given numbers 351, 264, 30 is 3
2. How to calculate the greatest common divisor of 351, 264, 30?
We can find the highest common divisor of 351, 264, 30 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 351, 264, 30 i.e 3.
3. How can I use the GCD of 351, 264, 30Calculator?
Out the numbers 351, 264, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.