GCD of 264, 945, 336 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 264, 945, 336 quickly. Get the easiest ways to solve the greatest common divisor of 264, 945, 336 i.e 3 in different methods as follows.
Given Input numbers are 264, 945, 336
In the factoring method, we have to find the divisors of all numbers
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 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (264, 945, 336) = 3.
Given numbers are 264, 945, 336
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 264, 945, 336 is 3.
Steps to Calculate GCD of 264, 945, 336 using LCM Formula
Given numbers are 264, 945, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(264, 945) = 83160
GCD(264, 945) = ( 264 x 945 ) / 83160
= 264 / 945
= 264
Step2:
LCM(3, 336) = 336
GCD(3, 336) = ( 3 x 336 ) / 336
= 3 / 336
= 3
So, Greatest Common Divisor of 264, 945, 336 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 264, 945, 336
Given numbers are 264, 945, 336
The greatest common divisor of numbers 264, 945, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 945, 336 is 3.
FAQs on GCD of 264, 945, 336 Calculator
1. What is the GCD of 264, 945, 336?
GCD of given numbers 264, 945, 336 is 3
2. How to calculate the greatest common divisor of 264, 945, 336?
We can find the highest common divisor of 264, 945, 336 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 264, 945, 336 i.e 3.
3. How can I use the GCD of 264, 945, 336Calculator?
Out the numbers 264, 945, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.