GCD of 627, 891, 456 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 627, 891, 456 quickly. Get the easiest ways to solve the greatest common divisor of 627, 891, 456 i.e 3 in different methods as follows.
Given Input numbers are 627, 891, 456
In the factoring method, we have to find the divisors of all numbers
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
GCD of numbers is the greatest common divisor
So, the GCD (627, 891, 456) = 3.
Given numbers are 627, 891, 456
The list of prime factors of all numbers are
Prime factors of 627 are 3 x 11 x 19
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 627, 891, 456 is 3.
Steps to Calculate GCD of 627, 891, 456 using LCM Formula
Given numbers are 627, 891, 456
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(627, 891) = 16929
GCD(627, 891) = ( 627 x 891 ) / 16929
= 627 / 891
= 627
Step2:
LCM(33, 456) = 5016
GCD(33, 456) = ( 33 x 456 ) / 5016
= 33 / 456
= 33
So, Greatest Common Divisor of 627, 891, 456 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 627, 891, 456
Given numbers are 627, 891, 456
The greatest common divisor of numbers 627, 891, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 627, 891, 456 is 3.
FAQs on GCD of 627, 891, 456 Calculator
1. What is the GCD of 627, 891, 456?
GCD of given numbers 627, 891, 456 is 3
2. How to calculate the greatest common divisor of 627, 891, 456?
We can find the highest common divisor of 627, 891, 456 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 627, 891, 456 i.e 3.
3. How can I use the GCD of 627, 891, 456Calculator?
Out the numbers 627, 891, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.