Online GCD Calculator is useful to find the GCD of 917, 413, 981, 120 quickly. Get the easiest ways to solve the greatest common divisor of 917, 413, 981, 120 i.e 1 in different methods as follows.
Given Input numbers are 917, 413, 981, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (917, 413, 981, 120) = 1.
Given numbers are 917, 413, 981, 120
The list of prime factors of all numbers are
Prime factors of 917 are 7 x 131
Prime factors of 413 are 7 x 59
Prime factors of 981 are 3 x 3 x 109
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 917, 413, 981, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(917, 413) = 54103
GCD(917, 413) = ( 917 x 413 ) / 54103
= 917 / 413
= 917
Step2:
LCM(7, 981) = 6867
GCD(7, 981) = ( 7 x 981 ) / 6867
= 7 / 981
= 7
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 917, 413, 981, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 917, 413, 981, 120
The greatest common divisor of numbers 917, 413, 981, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 413, 981, 120 is 1.
1. What is the GCD of 917, 413, 981, 120?
GCD of given numbers 917, 413, 981, 120 is 1
2. How to calculate the greatest common divisor of 917, 413, 981, 120?
We can find the highest common divisor of 917, 413, 981, 120 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 917, 413, 981, 120 i.e 1.
3. How can I use the GCD of 917, 413, 981, 120Calculator?
Out the numbers 917, 413, 981, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.