Online GCD Calculator is useful to find the GCD of 420, 504, 372, 535 quickly. Get the easiest ways to solve the greatest common divisor of 420, 504, 372, 535 i.e 1 in different methods as follows.
Given Input numbers are 420, 504, 372, 535
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 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 535 :
The positive integer divisors of 535 that completely divides 535 are.
1, 5, 107, 535
GCD of numbers is the greatest common divisor
So, the GCD (420, 504, 372, 535) = 1.
Given numbers are 420, 504, 372, 535
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 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 535 are 5 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 504, 372, 535
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 504) = 2520
GCD(420, 504) = ( 420 x 504 ) / 2520
= 420 / 504
= 420
Step2:
LCM(84, 372) = 2604
GCD(84, 372) = ( 84 x 372 ) / 2604
= 84 / 372
= 84
Step3:
LCM(12, 535) = 6420
GCD(12, 535) = ( 12 x 535 ) / 6420
= 12 / 535
= 12
So, Greatest Common Divisor of 420, 504, 372, 535 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 504, 372, 535
The greatest common divisor of numbers 420, 504, 372, 535 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 504, 372, 535 is 1.
1. What is the GCD of 420, 504, 372, 535?
GCD of given numbers 420, 504, 372, 535 is 1
2. How to calculate the greatest common divisor of 420, 504, 372, 535?
We can find the highest common divisor of 420, 504, 372, 535 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, 504, 372, 535 i.e 1.
3. How can I use the GCD of 420, 504, 372, 535Calculator?
Out the numbers 420, 504, 372, 535 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.