Online GCD Calculator is useful to find the GCD of 533, 420, 212, 159 quickly. Get the easiest ways to solve the greatest common divisor of 533, 420, 212, 159 i.e 1 in different methods as follows.
Given Input numbers are 533, 420, 212, 159
In the factoring method, we have to find the divisors of all numbers
Divisors of 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
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 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
GCD of numbers is the greatest common divisor
So, the GCD (533, 420, 212, 159) = 1.
Given numbers are 533, 420, 212, 159
The list of prime factors of all numbers are
Prime factors of 533 are 13 x 41
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 212 are 2 x 2 x 53
Prime factors of 159 are 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 533, 420, 212, 159
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(533, 420) = 223860
GCD(533, 420) = ( 533 x 420 ) / 223860
= 533 / 420
= 533
Step2:
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
= 1 / 212
= 1
Step3:
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
= 1 / 159
= 1
So, Greatest Common Divisor of 533, 420, 212, 159 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 533, 420, 212, 159
The greatest common divisor of numbers 533, 420, 212, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 533, 420, 212, 159 is 1.
1. What is the GCD of 533, 420, 212, 159?
GCD of given numbers 533, 420, 212, 159 is 1
2. How to calculate the greatest common divisor of 533, 420, 212, 159?
We can find the highest common divisor of 533, 420, 212, 159 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 533, 420, 212, 159 i.e 1.
3. How can I use the GCD of 533, 420, 212, 159Calculator?
Out the numbers 533, 420, 212, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.