GCD of 824, 612, 628 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 824, 612, 628 quickly. Get the easiest ways to solve the greatest common divisor of 824, 612, 628 i.e 4 in different methods as follows.
Given Input numbers are 824, 612, 628
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (824, 612, 628) = 4.
Given numbers are 824, 612, 628
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 22
Therefore, GCD of 824, 612, 628 is 4.
Steps to Calculate GCD of 824, 612, 628 using LCM Formula
Given numbers are 824, 612, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 612) = 126072
GCD(824, 612) = ( 824 x 612 ) / 126072
= 824 / 612
= 824
Step2:
LCM(4, 628) = 628
GCD(4, 628) = ( 4 x 628 ) / 628
= 4 / 628
= 4
So, Greatest Common Divisor of 824, 612, 628 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 824, 612, 628
Given numbers are 824, 612, 628
The greatest common divisor of numbers 824, 612, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 612, 628 is 4.
FAQs on GCD of 824, 612, 628 Calculator
1. What is the GCD of 824, 612, 628?
GCD of given numbers 824, 612, 628 is 4
2. How to calculate the greatest common divisor of 824, 612, 628?
We can find the highest common divisor of 824, 612, 628 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 824, 612, 628 i.e 4.
3. How can I use the GCD of 824, 612, 628Calculator?
Out the numbers 824, 612, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.