Online GCD Calculator is useful to find the GCD of 688, 384, 114, 826 quickly. Get the easiest ways to solve the greatest common divisor of 688, 384, 114, 826 i.e 2 in different methods as follows.
Given Input numbers are 688, 384, 114, 826
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 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
GCD of numbers is the greatest common divisor
So, the GCD (688, 384, 114, 826) = 2.
Given numbers are 688, 384, 114, 826
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 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 114 are 2 x 3 x 19
Prime factors of 826 are 2 x 7 x 59
The highest common occurrence is 21
Therefore, GCD of 688, 384, 114, 826 is 2.
Given numbers are 688, 384, 114, 826
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 384) = 16512
GCD(688, 384) = ( 688 x 384 ) / 16512
= 688 / 384
= 688
Step2:
LCM(16, 114) = 912
GCD(16, 114) = ( 16 x 114 ) / 912
= 16 / 114
= 16
Step3:
LCM(2, 826) = 826
GCD(2, 826) = ( 2 x 826 ) / 826
= 2 / 826
= 2
So, Greatest Common Divisor of 688, 384, 114, 826 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 384, 114, 826
The greatest common divisor of numbers 688, 384, 114, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 384, 114, 826 is 2.
1. What is the GCD of 688, 384, 114, 826?
GCD of given numbers 688, 384, 114, 826 is 2
2. How to calculate the greatest common divisor of 688, 384, 114, 826?
We can find the highest common divisor of 688, 384, 114, 826 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, 384, 114, 826 i.e 2.
3. How can I use the GCD of 688, 384, 114, 826Calculator?
Out the numbers 688, 384, 114, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.