GCD of 708, 960, 448 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 708, 960, 448 quickly. Get the easiest ways to solve the greatest common divisor of 708, 960, 448 i.e 4 in different methods as follows.
Given Input numbers are 708, 960, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
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
GCD of numbers is the greatest common divisor
So, the GCD (708, 960, 448) = 4.
Given numbers are 708, 960, 448
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 22
Therefore, GCD of 708, 960, 448 is 4.
Steps to Calculate GCD of 708, 960, 448 using LCM Formula
Given numbers are 708, 960, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 960) = 56640
GCD(708, 960) = ( 708 x 960 ) / 56640
= 708 / 960
= 708
Step2:
LCM(12, 448) = 1344
GCD(12, 448) = ( 12 x 448 ) / 1344
= 12 / 448
= 12
So, Greatest Common Divisor of 708, 960, 448 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 708, 960, 448
Given numbers are 708, 960, 448
The greatest common divisor of numbers 708, 960, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 960, 448 is 4.
FAQs on GCD of 708, 960, 448 Calculator
1. What is the GCD of 708, 960, 448?
GCD of given numbers 708, 960, 448 is 4
2. How to calculate the greatest common divisor of 708, 960, 448?
We can find the highest common divisor of 708, 960, 448 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 708, 960, 448 i.e 4.
3. How can I use the GCD of 708, 960, 448Calculator?
Out the numbers 708, 960, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.