Online GCD Calculator is useful to find the GCD of 991, 214, 920, 108 quickly. Get the easiest ways to solve the greatest common divisor of 991, 214, 920, 108 i.e 1 in different methods as follows.
Given Input numbers are 991, 214, 920, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
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 (991, 214, 920, 108) = 1.
Given numbers are 991, 214, 920, 108
The list of prime factors of all numbers are
Prime factors of 991 are 991
Prime factors of 214 are 2 x 107
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
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 991, 214, 920, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(991, 214) = 212074
GCD(991, 214) = ( 991 x 214 ) / 212074
= 991 / 214
= 991
Step2:
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
= 1 / 920
= 1
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 991, 214, 920, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 991, 214, 920, 108
The greatest common divisor of numbers 991, 214, 920, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 214, 920, 108 is 1.
1. What is the GCD of 991, 214, 920, 108?
GCD of given numbers 991, 214, 920, 108 is 1
2. How to calculate the greatest common divisor of 991, 214, 920, 108?
We can find the highest common divisor of 991, 214, 920, 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 991, 214, 920, 108 i.e 1.
3. How can I use the GCD of 991, 214, 920, 108Calculator?
Out the numbers 991, 214, 920, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.