Online GCD Calculator is useful to find the GCD of 117, 114, 664, 380 quickly. Get the easiest ways to solve the greatest common divisor of 117, 114, 664, 380 i.e 1 in different methods as follows.
Given Input numbers are 117, 114, 664, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
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
GCD of numbers is the greatest common divisor
So, the GCD (117, 114, 664, 380) = 1.
Given numbers are 117, 114, 664, 380
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 114 are 2 x 3 x 19
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 380 are 2 x 2 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 114, 664, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 114) = 4446
GCD(117, 114) = ( 117 x 114 ) / 4446
= 117 / 114
= 117
Step2:
LCM(3, 664) = 1992
GCD(3, 664) = ( 3 x 664 ) / 1992
= 3 / 664
= 3
Step3:
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
= 1 / 380
= 1
So, Greatest Common Divisor of 117, 114, 664, 380 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 114, 664, 380
The greatest common divisor of numbers 117, 114, 664, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 114, 664, 380 is 1.
1. What is the GCD of 117, 114, 664, 380?
GCD of given numbers 117, 114, 664, 380 is 1
2. How to calculate the greatest common divisor of 117, 114, 664, 380?
We can find the highest common divisor of 117, 114, 664, 380 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 117, 114, 664, 380 i.e 1.
3. How can I use the GCD of 117, 114, 664, 380Calculator?
Out the numbers 117, 114, 664, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.