Online GCD Calculator is useful to find the GCD of 535, 414, 420, 432 quickly. Get the easiest ways to solve the greatest common divisor of 535, 414, 420, 432 i.e 1 in different methods as follows.
Given Input numbers are 535, 414, 420, 432
In the factoring method, we have to find the divisors of all numbers
Divisors of 535 :
The positive integer divisors of 535 that completely divides 535 are.
1, 5, 107, 535
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
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 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
GCD of numbers is the greatest common divisor
So, the GCD (535, 414, 420, 432) = 1.
Given numbers are 535, 414, 420, 432
The list of prime factors of all numbers are
Prime factors of 535 are 5 x 107
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 535, 414, 420, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(535, 414) = 221490
GCD(535, 414) = ( 535 x 414 ) / 221490
= 535 / 414
= 535
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
= 1 / 432
= 1
So, Greatest Common Divisor of 535, 414, 420, 432 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 535, 414, 420, 432
The greatest common divisor of numbers 535, 414, 420, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 535, 414, 420, 432 is 1.
1. What is the GCD of 535, 414, 420, 432?
GCD of given numbers 535, 414, 420, 432 is 1
2. How to calculate the greatest common divisor of 535, 414, 420, 432?
We can find the highest common divisor of 535, 414, 420, 432 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 535, 414, 420, 432 i.e 1.
3. How can I use the GCD of 535, 414, 420, 432Calculator?
Out the numbers 535, 414, 420, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.