Online GCD Calculator is useful to find the GCD of 638, 685, 108, 114 quickly. Get the easiest ways to solve the greatest common divisor of 638, 685, 108, 114 i.e 1 in different methods as follows.
Given Input numbers are 638, 685, 108, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (638, 685, 108, 114) = 1.
Given numbers are 638, 685, 108, 114
The list of prime factors of all numbers are
Prime factors of 638 are 2 x 11 x 29
Prime factors of 685 are 5 x 137
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 114 are 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 638, 685, 108, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(638, 685) = 437030
GCD(638, 685) = ( 638 x 685 ) / 437030
= 638 / 685
= 638
Step2:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
Step3:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
So, Greatest Common Divisor of 638, 685, 108, 114 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 638, 685, 108, 114
The greatest common divisor of numbers 638, 685, 108, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 685, 108, 114 is 1.
1. What is the GCD of 638, 685, 108, 114?
GCD of given numbers 638, 685, 108, 114 is 1
2. How to calculate the greatest common divisor of 638, 685, 108, 114?
We can find the highest common divisor of 638, 685, 108, 114 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 638, 685, 108, 114 i.e 1.
3. How can I use the GCD of 638, 685, 108, 114Calculator?
Out the numbers 638, 685, 108, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.