GCD of 916, 508, 688 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 916, 508, 688 quickly. Get the easiest ways to solve the greatest common divisor of 916, 508, 688 i.e 4 in different methods as follows.
Given Input numbers are 916, 508, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (916, 508, 688) = 4.
Given numbers are 916, 508, 688
The list of prime factors of all numbers are
Prime factors of 916 are 2 x 2 x 229
Prime factors of 508 are 2 x 2 x 127
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The highest common occurrence is 22
Therefore, GCD of 916, 508, 688 is 4.
Steps to Calculate GCD of 916, 508, 688 using LCM Formula
Given numbers are 916, 508, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(916, 508) = 116332
GCD(916, 508) = ( 916 x 508 ) / 116332
= 916 / 508
= 916
Step2:
LCM(4, 688) = 688
GCD(4, 688) = ( 4 x 688 ) / 688
= 4 / 688
= 4
So, Greatest Common Divisor of 916, 508, 688 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 916, 508, 688
Given numbers are 916, 508, 688
The greatest common divisor of numbers 916, 508, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 508, 688 is 4.
FAQs on GCD of 916, 508, 688 Calculator
1. What is the GCD of 916, 508, 688?
GCD of given numbers 916, 508, 688 is 4
2. How to calculate the greatest common divisor of 916, 508, 688?
We can find the highest common divisor of 916, 508, 688 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 916, 508, 688 i.e 4.
3. How can I use the GCD of 916, 508, 688Calculator?
Out the numbers 916, 508, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.