Online GCD Calculator is useful to find the GCD of 117, 220, 393, 420 quickly. Get the easiest ways to solve the greatest common divisor of 117, 220, 393, 420 i.e 1 in different methods as follows.
Given Input numbers are 117, 220, 393, 420
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 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
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
GCD of numbers is the greatest common divisor
So, the GCD (117, 220, 393, 420) = 1.
Given numbers are 117, 220, 393, 420
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 393 are 3 x 131
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 220, 393, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 220) = 25740
GCD(117, 220) = ( 117 x 220 ) / 25740
= 117 / 220
= 117
Step2:
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
= 1 / 393
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 117, 220, 393, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 220, 393, 420
The greatest common divisor of numbers 117, 220, 393, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 220, 393, 420 is 1.
1. What is the GCD of 117, 220, 393, 420?
GCD of given numbers 117, 220, 393, 420 is 1
2. How to calculate the greatest common divisor of 117, 220, 393, 420?
We can find the highest common divisor of 117, 220, 393, 420 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, 220, 393, 420 i.e 1.
3. How can I use the GCD of 117, 220, 393, 420Calculator?
Out the numbers 117, 220, 393, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.