Online GCD Calculator is useful to find the GCD of 688, 462, 156 quickly. Get the easiest ways to solve the greatest common divisor of 688, 462, 156 i.e 2 in different methods as follows.
Given Input numbers are 688, 462, 156
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 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (688, 462, 156) = 2.
Given numbers are 688, 462, 156
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 462 are 2 x 3 x 7 x 11
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 688, 462, 156 is 2.
Given numbers are 688, 462, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 462) = 158928
GCD(688, 462) = ( 688 x 462 ) / 158928
= 688 / 462
= 688
Step2:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
So, Greatest Common Divisor of 688, 462, 156 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 462, 156
The greatest common divisor of numbers 688, 462, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 462, 156 is 2.
1. What is the GCD of 688, 462, 156?
GCD of given numbers 688, 462, 156 is 2
2. How to calculate the greatest common divisor of 688, 462, 156?
We can find the highest common divisor of 688, 462, 156 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, 462, 156 i.e 2.
3. How can I use the GCD of 688, 462, 156Calculator?
Out the numbers 688, 462, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.