GCD of 448, 312, 660 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 448, 312, 660 quickly. Get the easiest ways to solve the greatest common divisor of 448, 312, 660 i.e 4 in different methods as follows.
Given Input numbers are 448, 312, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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
GCD of numbers is the greatest common divisor
So, the GCD (448, 312, 660) = 4.
Given numbers are 448, 312, 660
The list of prime factors of all numbers are
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 22
Therefore, GCD of 448, 312, 660 is 4.
Steps to Calculate GCD of 448, 312, 660 using LCM Formula
Given numbers are 448, 312, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(448, 312) = 17472
GCD(448, 312) = ( 448 x 312 ) / 17472
= 448 / 312
= 448
Step2:
LCM(8, 660) = 1320
GCD(8, 660) = ( 8 x 660 ) / 1320
= 8 / 660
= 8
So, Greatest Common Divisor of 448, 312, 660 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 448, 312, 660
Given numbers are 448, 312, 660
The greatest common divisor of numbers 448, 312, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 312, 660 is 4.
FAQs on GCD of 448, 312, 660 Calculator
1. What is the GCD of 448, 312, 660?
GCD of given numbers 448, 312, 660 is 4
2. How to calculate the greatest common divisor of 448, 312, 660?
We can find the highest common divisor of 448, 312, 660 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 448, 312, 660 i.e 4.
3. How can I use the GCD of 448, 312, 660Calculator?
Out the numbers 448, 312, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.