GCD of 900, 147, 450 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 900, 147, 450 quickly. Get the easiest ways to solve the greatest common divisor of 900, 147, 450 i.e 3 in different methods as follows.
Given Input numbers are 900, 147, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
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 (900, 147, 450) = 3.
Given numbers are 900, 147, 450
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 147 are 3 x 7 x 7
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 900, 147, 450 is 3.
Steps to Calculate GCD of 900, 147, 450 using LCM Formula
Given numbers are 900, 147, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 147) = 44100
GCD(900, 147) = ( 900 x 147 ) / 44100
= 900 / 147
= 900
Step2:
LCM(3, 450) = 450
GCD(3, 450) = ( 3 x 450 ) / 450
= 3 / 450
= 3
So, Greatest Common Divisor of 900, 147, 450 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 900, 147, 450
Given numbers are 900, 147, 450
The greatest common divisor of numbers 900, 147, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 147, 450 is 3.
FAQs on GCD of 900, 147, 450 Calculator
1. What is the GCD of 900, 147, 450?
GCD of given numbers 900, 147, 450 is 3
2. How to calculate the greatest common divisor of 900, 147, 450?
We can find the highest common divisor of 900, 147, 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 900, 147, 450 i.e 3.
3. How can I use the GCD of 900, 147, 450Calculator?
Out the numbers 900, 147, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.