GCD of 402, 738, 450 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 402, 738, 450 quickly. Get the easiest ways to solve the greatest common divisor of 402, 738, 450 i.e 6 in different methods as follows.
Given Input numbers are 402, 738, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
GCD of numbers is the greatest common divisor
So, the GCD (402, 738, 450) = 6.
Given numbers are 402, 738, 450
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21 x 31
Therefore, GCD of 402, 738, 450 is 6.
Steps to Calculate GCD of 402, 738, 450 using LCM Formula
Given numbers are 402, 738, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 738) = 49446
GCD(402, 738) = ( 402 x 738 ) / 49446
= 402 / 738
= 402
Step2:
LCM(6, 450) = 450
GCD(6, 450) = ( 6 x 450 ) / 450
= 6 / 450
= 6
So, Greatest Common Divisor of 402, 738, 450 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 402, 738, 450
Given numbers are 402, 738, 450
The greatest common divisor of numbers 402, 738, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 738, 450 is 6.
FAQs on GCD of 402, 738, 450 Calculator
1. What is the GCD of 402, 738, 450?
GCD of given numbers 402, 738, 450 is 6
2. How to calculate the greatest common divisor of 402, 738, 450?
We can find the highest common divisor of 402, 738, 450 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 402, 738, 450 i.e 6.
3. How can I use the GCD of 402, 738, 450Calculator?
Out the numbers 402, 738, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.