Online GCD Calculator is useful to find the GCD of 321, 507, 503, 420 quickly. Get the easiest ways to solve the greatest common divisor of 321, 507, 503, 420 i.e 1 in different methods as follows.
Given Input numbers are 321, 507, 503, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 503 :
The positive integer divisors of 503 that completely divides 503 are.
1, 503
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 (321, 507, 503, 420) = 1.
Given numbers are 321, 507, 503, 420
The list of prime factors of all numbers are
Prime factors of 321 are 3 x 107
Prime factors of 507 are 3 x 13 x 13
Prime factors of 503 are 503
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 321, 507, 503, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(321, 507) = 54249
GCD(321, 507) = ( 321 x 507 ) / 54249
= 321 / 507
= 321
Step2:
LCM(3, 503) = 1509
GCD(3, 503) = ( 3 x 503 ) / 1509
= 3 / 503
= 3
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 321, 507, 503, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 321, 507, 503, 420
The greatest common divisor of numbers 321, 507, 503, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 507, 503, 420 is 1.
1. What is the GCD of 321, 507, 503, 420?
GCD of given numbers 321, 507, 503, 420 is 1
2. How to calculate the greatest common divisor of 321, 507, 503, 420?
We can find the highest common divisor of 321, 507, 503, 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 321, 507, 503, 420 i.e 1.
3. How can I use the GCD of 321, 507, 503, 420Calculator?
Out the numbers 321, 507, 503, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.