GCD of 708, 456, 465 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 708, 456, 465 quickly. Get the easiest ways to solve the greatest common divisor of 708, 456, 465 i.e 3 in different methods as follows.
Given Input numbers are 708, 456, 465
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 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
GCD of numbers is the greatest common divisor
So, the GCD (708, 456, 465) = 3.
Given numbers are 708, 456, 465
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 465 are 3 x 5 x 31
The highest common occurrence is 31
Therefore, GCD of 708, 456, 465 is 3.
Steps to Calculate GCD of 708, 456, 465 using LCM Formula
Given numbers are 708, 456, 465
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 456) = 26904
GCD(708, 456) = ( 708 x 456 ) / 26904
= 708 / 456
= 708
Step2:
LCM(12, 465) = 1860
GCD(12, 465) = ( 12 x 465 ) / 1860
= 12 / 465
= 12
So, Greatest Common Divisor of 708, 456, 465 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 708, 456, 465
Given numbers are 708, 456, 465
The greatest common divisor of numbers 708, 456, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 456, 465 is 3.
FAQs on GCD of 708, 456, 465 Calculator
1. What is the GCD of 708, 456, 465?
GCD of given numbers 708, 456, 465 is 3
2. How to calculate the greatest common divisor of 708, 456, 465?
We can find the highest common divisor of 708, 456, 465 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, 456, 465 i.e 3.
3. How can I use the GCD of 708, 456, 465Calculator?
Out the numbers 708, 456, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.