GCD of 468, 360, 948 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 468, 360, 948 quickly. Get the easiest ways to solve the greatest common divisor of 468, 360, 948 i.e 12 in different methods as follows.
Given Input numbers are 468, 360, 948
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
GCD of numbers is the greatest common divisor
So, the GCD (468, 360, 948) = 12.
Given numbers are 468, 360, 948
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 948 are 2 x 2 x 3 x 79
The highest common occurrence is 22 x 31
Therefore, GCD of 468, 360, 948 is 12.
Steps to Calculate GCD of 468, 360, 948 using LCM Formula
Given numbers are 468, 360, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 360) = 4680
GCD(468, 360) = ( 468 x 360 ) / 4680
= 468 / 360
= 468
Step2:
LCM(36, 948) = 2844
GCD(36, 948) = ( 36 x 948 ) / 2844
= 36 / 948
= 36
So, Greatest Common Divisor of 468, 360, 948 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 468, 360, 948
Given numbers are 468, 360, 948
The greatest common divisor of numbers 468, 360, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 360, 948 is 12.
FAQs on GCD of 468, 360, 948 Calculator
1. What is the GCD of 468, 360, 948?
GCD of given numbers 468, 360, 948 is 12
2. How to calculate the greatest common divisor of 468, 360, 948?
We can find the highest common divisor of 468, 360, 948 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 468, 360, 948 i.e 12.
3. How can I use the GCD of 468, 360, 948Calculator?
Out the numbers 468, 360, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.