GCD of 468, 759, 402 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 468, 759, 402 quickly. Get the easiest ways to solve the greatest common divisor of 468, 759, 402 i.e 3 in different methods as follows.
Given Input numbers are 468, 759, 402
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 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (468, 759, 402) = 3.
Given numbers are 468, 759, 402
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 759 are 3 x 11 x 23
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 31
Therefore, GCD of 468, 759, 402 is 3.
Steps to Calculate GCD of 468, 759, 402 using LCM Formula
Given numbers are 468, 759, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 759) = 118404
GCD(468, 759) = ( 468 x 759 ) / 118404
= 468 / 759
= 468
Step2:
LCM(3, 402) = 402
GCD(3, 402) = ( 3 x 402 ) / 402
= 3 / 402
= 3
So, Greatest Common Divisor of 468, 759, 402 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 468, 759, 402
Given numbers are 468, 759, 402
The greatest common divisor of numbers 468, 759, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 759, 402 is 3.
FAQs on GCD of 468, 759, 402 Calculator
1. What is the GCD of 468, 759, 402?
GCD of given numbers 468, 759, 402 is 3
2. How to calculate the greatest common divisor of 468, 759, 402?
We can find the highest common divisor of 468, 759, 402 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, 759, 402 i.e 3.
3. How can I use the GCD of 468, 759, 402Calculator?
Out the numbers 468, 759, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.