GCD of 747, 450, 54 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 747, 450, 54 quickly. Get the easiest ways to solve the greatest common divisor of 747, 450, 54 i.e 9 in different methods as follows.
Given Input numbers are 747, 450, 54
In the factoring method, we have to find the divisors of all numbers
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
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
Divisors of 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
GCD of numbers is the greatest common divisor
So, the GCD (747, 450, 54) = 9.
Given numbers are 747, 450, 54
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 54 are 2 x 3 x 3 x 3
The highest common occurrence is 32
Therefore, GCD of 747, 450, 54 is 9.
Steps to Calculate GCD of 747, 450, 54 using LCM Formula
Given numbers are 747, 450, 54
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 450) = 37350
GCD(747, 450) = ( 747 x 450 ) / 37350
= 747 / 450
= 747
Step2:
LCM(9, 54) = 54
GCD(9, 54) = ( 9 x 54 ) / 54
= 9 / 54
= 9
So, Greatest Common Divisor of 747, 450, 54 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 747, 450, 54
Given numbers are 747, 450, 54
The greatest common divisor of numbers 747, 450, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 450, 54 is 9.
FAQs on GCD of 747, 450, 54 Calculator
1. What is the GCD of 747, 450, 54?
GCD of given numbers 747, 450, 54 is 9
2. How to calculate the greatest common divisor of 747, 450, 54?
We can find the highest common divisor of 747, 450, 54 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 747, 450, 54 i.e 9.
3. How can I use the GCD of 747, 450, 54Calculator?
Out the numbers 747, 450, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.