GCD of 984, 465, 654 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 984, 465, 654 quickly. Get the easiest ways to solve the greatest common divisor of 984, 465, 654 i.e 3 in different methods as follows.
Given Input numbers are 984, 465, 654
In the factoring method, we have to find the divisors of all numbers
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
GCD of numbers is the greatest common divisor
So, the GCD (984, 465, 654) = 3.
Given numbers are 984, 465, 654
The list of prime factors of all numbers are
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 465 are 3 x 5 x 31
Prime factors of 654 are 2 x 3 x 109
The highest common occurrence is 31
Therefore, GCD of 984, 465, 654 is 3.
Steps to Calculate GCD of 984, 465, 654 using LCM Formula
Given numbers are 984, 465, 654
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 465) = 152520
GCD(984, 465) = ( 984 x 465 ) / 152520
= 984 / 465
= 984
Step2:
LCM(3, 654) = 654
GCD(3, 654) = ( 3 x 654 ) / 654
= 3 / 654
= 3
So, Greatest Common Divisor of 984, 465, 654 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 984, 465, 654
Given numbers are 984, 465, 654
The greatest common divisor of numbers 984, 465, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 465, 654 is 3.
FAQs on GCD of 984, 465, 654 Calculator
1. What is the GCD of 984, 465, 654?
GCD of given numbers 984, 465, 654 is 3
2. How to calculate the greatest common divisor of 984, 465, 654?
We can find the highest common divisor of 984, 465, 654 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 984, 465, 654 i.e 3.
3. How can I use the GCD of 984, 465, 654Calculator?
Out the numbers 984, 465, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.