Online GCD Calculator is useful to find the GCD of 109, 420, 337, 304 quickly. Get the easiest ways to solve the greatest common divisor of 109, 420, 337, 304 i.e 1 in different methods as follows.
Given Input numbers are 109, 420, 337, 304
In the factoring method, we have to find the divisors of all numbers
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
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 337 :
The positive integer divisors of 337 that completely divides 337 are.
1, 337
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
GCD of numbers is the greatest common divisor
So, the GCD (109, 420, 337, 304) = 1.
Given numbers are 109, 420, 337, 304
The list of prime factors of all numbers are
Prime factors of 109 are 109
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 337 are 337
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 109, 420, 337, 304
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(109, 420) = 45780
GCD(109, 420) = ( 109 x 420 ) / 45780
= 109 / 420
= 109
Step2:
LCM(1, 337) = 337
GCD(1, 337) = ( 1 x 337 ) / 337
= 1 / 337
= 1
Step3:
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
= 1 / 304
= 1
So, Greatest Common Divisor of 109, 420, 337, 304 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 109, 420, 337, 304
The greatest common divisor of numbers 109, 420, 337, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 420, 337, 304 is 1.
1. What is the GCD of 109, 420, 337, 304?
GCD of given numbers 109, 420, 337, 304 is 1
2. How to calculate the greatest common divisor of 109, 420, 337, 304?
We can find the highest common divisor of 109, 420, 337, 304 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 109, 420, 337, 304 i.e 1.
3. How can I use the GCD of 109, 420, 337, 304Calculator?
Out the numbers 109, 420, 337, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.