Online GCD Calculator is useful to find the GCD of 327, 755, 420, 117 quickly. Get the easiest ways to solve the greatest common divisor of 327, 755, 420, 117 i.e 1 in different methods as follows.
Given Input numbers are 327, 755, 420, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (327, 755, 420, 117) = 1.
Given numbers are 327, 755, 420, 117
The list of prime factors of all numbers are
Prime factors of 327 are 3 x 109
Prime factors of 755 are 5 x 151
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 327, 755, 420, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(327, 755) = 246885
GCD(327, 755) = ( 327 x 755 ) / 246885
= 327 / 755
= 327
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 327, 755, 420, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 327, 755, 420, 117
The greatest common divisor of numbers 327, 755, 420, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 755, 420, 117 is 1.
1. What is the GCD of 327, 755, 420, 117?
GCD of given numbers 327, 755, 420, 117 is 1
2. How to calculate the greatest common divisor of 327, 755, 420, 117?
We can find the highest common divisor of 327, 755, 420, 117 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 327, 755, 420, 117 i.e 1.
3. How can I use the GCD of 327, 755, 420, 117Calculator?
Out the numbers 327, 755, 420, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.