Online GCD Calculator is useful to find the GCD of 420, 153, 728, 364 quickly. Get the easiest ways to solve the greatest common divisor of 420, 153, 728, 364 i.e 1 in different methods as follows.
Given Input numbers are 420, 153, 728, 364
In the factoring method, we have to find the divisors of all numbers
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 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
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 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (420, 153, 728, 364) = 1.
Given numbers are 420, 153, 728, 364
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 153 are 3 x 3 x 17
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 364 are 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 153, 728, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 153) = 21420
GCD(420, 153) = ( 420 x 153 ) / 21420
= 420 / 153
= 420
Step2:
LCM(3, 728) = 2184
GCD(3, 728) = ( 3 x 728 ) / 2184
= 3 / 728
= 3
Step3:
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
= 1 / 364
= 1
So, Greatest Common Divisor of 420, 153, 728, 364 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 153, 728, 364
The greatest common divisor of numbers 420, 153, 728, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 153, 728, 364 is 1.
1. What is the GCD of 420, 153, 728, 364?
GCD of given numbers 420, 153, 728, 364 is 1
2. How to calculate the greatest common divisor of 420, 153, 728, 364?
We can find the highest common divisor of 420, 153, 728, 364 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 420, 153, 728, 364 i.e 1.
3. How can I use the GCD of 420, 153, 728, 364Calculator?
Out the numbers 420, 153, 728, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.