Online GCD Calculator is useful to find the GCD of 688, 102, 67, 382 quickly. Get the easiest ways to solve the greatest common divisor of 688, 102, 67, 382 i.e 1 in different methods as follows.
Given Input numbers are 688, 102, 67, 382
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 67 :
The positive integer divisors of 67 that completely divides 67 are.
1, 67
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (688, 102, 67, 382) = 1.
Given numbers are 688, 102, 67, 382
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 102 are 2 x 3 x 17
Prime factors of 67 are 67
Prime factors of 382 are 2 x 191
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 688, 102, 67, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 102) = 35088
GCD(688, 102) = ( 688 x 102 ) / 35088
= 688 / 102
= 688
Step2:
LCM(2, 67) = 134
GCD(2, 67) = ( 2 x 67 ) / 134
= 2 / 67
= 2
Step3:
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
= 1 / 382
= 1
So, Greatest Common Divisor of 688, 102, 67, 382 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 102, 67, 382
The greatest common divisor of numbers 688, 102, 67, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 102, 67, 382 is 1.
1. What is the GCD of 688, 102, 67, 382?
GCD of given numbers 688, 102, 67, 382 is 1
2. How to calculate the greatest common divisor of 688, 102, 67, 382?
We can find the highest common divisor of 688, 102, 67, 382 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, 102, 67, 382 i.e 1.
3. How can I use the GCD of 688, 102, 67, 382Calculator?
Out the numbers 688, 102, 67, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.