GCD of 143, 378, 450 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 143, 378, 450 quickly. Get the easiest ways to solve the greatest common divisor of 143, 378, 450 i.e 1 in different methods as follows.
Given Input numbers are 143, 378, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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 (143, 378, 450) = 1.
Given numbers are 143, 378, 450
The list of prime factors of all numbers are
Prime factors of 143 are 11 x 13
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 143, 378, 450 using LCM Formula
Given numbers are 143, 378, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(143, 378) = 54054
GCD(143, 378) = ( 143 x 378 ) / 54054
= 143 / 378
= 143
Step2:
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
= 1 / 450
= 1
So, Greatest Common Divisor of 143, 378, 450 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 143, 378, 450
Given numbers are 143, 378, 450
The greatest common divisor of numbers 143, 378, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 143, 378, 450 is 1.
FAQs on GCD of 143, 378, 450 Calculator
1. What is the GCD of 143, 378, 450?
GCD of given numbers 143, 378, 450 is 1
2. How to calculate the greatest common divisor of 143, 378, 450?
We can find the highest common divisor of 143, 378, 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 143, 378, 450 i.e 1.
3. How can I use the GCD of 143, 378, 450Calculator?
Out the numbers 143, 378, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.