Online GCD Calculator is useful to find the GCD of 492, 380, 107, 108 quickly. Get the easiest ways to solve the greatest common divisor of 492, 380, 107, 108 i.e 1 in different methods as follows.
Given Input numbers are 492, 380, 107, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
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
GCD of numbers is the greatest common divisor
So, the GCD (492, 380, 107, 108) = 1.
Given numbers are 492, 380, 107, 108
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 107 are 107
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 492, 380, 107, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 380) = 46740
GCD(492, 380) = ( 492 x 380 ) / 46740
= 492 / 380
= 492
Step2:
LCM(4, 107) = 428
GCD(4, 107) = ( 4 x 107 ) / 428
= 4 / 107
= 4
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 492, 380, 107, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 380, 107, 108
The greatest common divisor of numbers 492, 380, 107, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 380, 107, 108 is 1.
1. What is the GCD of 492, 380, 107, 108?
GCD of given numbers 492, 380, 107, 108 is 1
2. How to calculate the greatest common divisor of 492, 380, 107, 108?
We can find the highest common divisor of 492, 380, 107, 108 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 492, 380, 107, 108 i.e 1.
3. How can I use the GCD of 492, 380, 107, 108Calculator?
Out the numbers 492, 380, 107, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.