GCD of 428, 652, 984 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 428, 652, 984 quickly. Get the easiest ways to solve the greatest common divisor of 428, 652, 984 i.e 4 in different methods as follows.
Given Input numbers are 428, 652, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
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
GCD of numbers is the greatest common divisor
So, the GCD (428, 652, 984) = 4.
Given numbers are 428, 652, 984
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 652 are 2 x 2 x 163
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 22
Therefore, GCD of 428, 652, 984 is 4.
Steps to Calculate GCD of 428, 652, 984 using LCM Formula
Given numbers are 428, 652, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 652) = 69764
GCD(428, 652) = ( 428 x 652 ) / 69764
= 428 / 652
= 428
Step2:
LCM(4, 984) = 984
GCD(4, 984) = ( 4 x 984 ) / 984
= 4 / 984
= 4
So, Greatest Common Divisor of 428, 652, 984 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 428, 652, 984
Given numbers are 428, 652, 984
The greatest common divisor of numbers 428, 652, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 652, 984 is 4.
FAQs on GCD of 428, 652, 984 Calculator
1. What is the GCD of 428, 652, 984?
GCD of given numbers 428, 652, 984 is 4
2. How to calculate the greatest common divisor of 428, 652, 984?
We can find the highest common divisor of 428, 652, 984 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 428, 652, 984 i.e 4.
3. How can I use the GCD of 428, 652, 984Calculator?
Out the numbers 428, 652, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.