GCD of 616, 231, 756 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 616, 231, 756 quickly. Get the easiest ways to solve the greatest common divisor of 616, 231, 756 i.e 7 in different methods as follows.
Given Input numbers are 616, 231, 756
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
GCD of numbers is the greatest common divisor
So, the GCD (616, 231, 756) = 7.
Given numbers are 616, 231, 756
The list of prime factors of all numbers are
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 231 are 3 x 7 x 11
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
The highest common occurrence is 71
Therefore, GCD of 616, 231, 756 is 7.
Steps to Calculate GCD of 616, 231, 756 using LCM Formula
Given numbers are 616, 231, 756
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(616, 231) = 1848
GCD(616, 231) = ( 616 x 231 ) / 1848
= 616 / 231
= 616
Step2:
LCM(77, 756) = 8316
GCD(77, 756) = ( 77 x 756 ) / 8316
= 77 / 756
= 77
So, Greatest Common Divisor of 616, 231, 756 is 7
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 616, 231, 756
Given numbers are 616, 231, 756
The greatest common divisor of numbers 616, 231, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 231, 756 is 7.
FAQs on GCD of 616, 231, 756 Calculator
1. What is the GCD of 616, 231, 756?
GCD of given numbers 616, 231, 756 is 7
2. How to calculate the greatest common divisor of 616, 231, 756?
We can find the highest common divisor of 616, 231, 756 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 616, 231, 756 i.e 7.
3. How can I use the GCD of 616, 231, 756Calculator?
Out the numbers 616, 231, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.