Online GCD Calculator is useful to find the GCD of 374, 209, 728, 420 quickly. Get the easiest ways to solve the greatest common divisor of 374, 209, 728, 420 i.e 1 in different methods as follows.
Given Input numbers are 374, 209, 728, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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 (374, 209, 728, 420) = 1.
Given numbers are 374, 209, 728, 420
The list of prime factors of all numbers are
Prime factors of 374 are 2 x 11 x 17
Prime factors of 209 are 11 x 19
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
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 374, 209, 728, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(374, 209) = 7106
GCD(374, 209) = ( 374 x 209 ) / 7106
= 374 / 209
= 374
Step2:
LCM(11, 728) = 8008
GCD(11, 728) = ( 11 x 728 ) / 8008
= 11 / 728
= 11
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 374, 209, 728, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 374, 209, 728, 420
The greatest common divisor of numbers 374, 209, 728, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 209, 728, 420 is 1.
1. What is the GCD of 374, 209, 728, 420?
GCD of given numbers 374, 209, 728, 420 is 1
2. How to calculate the greatest common divisor of 374, 209, 728, 420?
We can find the highest common divisor of 374, 209, 728, 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 374, 209, 728, 420 i.e 1.
3. How can I use the GCD of 374, 209, 728, 420Calculator?
Out the numbers 374, 209, 728, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.