Online GCD Calculator is useful to find the GCD of 688, 628, 162, 312 quickly. Get the easiest ways to solve the greatest common divisor of 688, 628, 162, 312 i.e 2 in different methods as follows.
Given Input numbers are 688, 628, 162, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (688, 628, 162, 312) = 2.
Given numbers are 688, 628, 162, 312
The list of prime factors of all numbers are
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 628 are 2 x 2 x 157
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 688, 628, 162, 312 is 2.
Given numbers are 688, 628, 162, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 628) = 108016
GCD(688, 628) = ( 688 x 628 ) / 108016
= 688 / 628
= 688
Step2:
LCM(4, 162) = 324
GCD(4, 162) = ( 4 x 162 ) / 324
= 4 / 162
= 4
Step3:
LCM(2, 312) = 312
GCD(2, 312) = ( 2 x 312 ) / 312
= 2 / 312
= 2
So, Greatest Common Divisor of 688, 628, 162, 312 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 628, 162, 312
The greatest common divisor of numbers 688, 628, 162, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 628, 162, 312 is 2.
1. What is the GCD of 688, 628, 162, 312?
GCD of given numbers 688, 628, 162, 312 is 2
2. How to calculate the greatest common divisor of 688, 628, 162, 312?
We can find the highest common divisor of 688, 628, 162, 312 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 688, 628, 162, 312 i.e 2.
3. How can I use the GCD of 688, 628, 162, 312Calculator?
Out the numbers 688, 628, 162, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.