GCD of 638, 627, 616 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 638, 627, 616 quickly. Get the easiest ways to solve the greatest common divisor of 638, 627, 616 i.e 11 in different methods as follows.
Given Input numbers are 638, 627, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
GCD of numbers is the greatest common divisor
So, the GCD (638, 627, 616) = 11.
Given numbers are 638, 627, 616
The list of prime factors of all numbers are
Prime factors of 638 are 2 x 11 x 29
Prime factors of 627 are 3 x 11 x 19
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The highest common occurrence is 111
Therefore, GCD of 638, 627, 616 is 11.
Steps to Calculate GCD of 638, 627, 616 using LCM Formula
Given numbers are 638, 627, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(638, 627) = 36366
GCD(638, 627) = ( 638 x 627 ) / 36366
= 638 / 627
= 638
Step2:
LCM(11, 616) = 616
GCD(11, 616) = ( 11 x 616 ) / 616
= 11 / 616
= 11
So, Greatest Common Divisor of 638, 627, 616 is 11
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 638, 627, 616
Given numbers are 638, 627, 616
The greatest common divisor of numbers 638, 627, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 627, 616 is 11.
FAQs on GCD of 638, 627, 616 Calculator
1. What is the GCD of 638, 627, 616?
GCD of given numbers 638, 627, 616 is 11
2. How to calculate the greatest common divisor of 638, 627, 616?
We can find the highest common divisor of 638, 627, 616 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 638, 627, 616 i.e 11.
3. How can I use the GCD of 638, 627, 616Calculator?
Out the numbers 638, 627, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.