Online GCD Calculator is useful to find the GCD of 543, 422, 360, 252 quickly. Get the easiest ways to solve the greatest common divisor of 543, 422, 360, 252 i.e 1 in different methods as follows.
Given Input numbers are 543, 422, 360, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (543, 422, 360, 252) = 1.
Given numbers are 543, 422, 360, 252
The list of prime factors of all numbers are
Prime factors of 543 are 3 x 181
Prime factors of 422 are 2 x 211
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 543, 422, 360, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(543, 422) = 229146
GCD(543, 422) = ( 543 x 422 ) / 229146
= 543 / 422
= 543
Step2:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
Step3:
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
= 1 / 252
= 1
So, Greatest Common Divisor of 543, 422, 360, 252 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 543, 422, 360, 252
The greatest common divisor of numbers 543, 422, 360, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 543, 422, 360, 252 is 1.
1. What is the GCD of 543, 422, 360, 252?
GCD of given numbers 543, 422, 360, 252 is 1
2. How to calculate the greatest common divisor of 543, 422, 360, 252?
We can find the highest common divisor of 543, 422, 360, 252 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 543, 422, 360, 252 i.e 1.
3. How can I use the GCD of 543, 422, 360, 252Calculator?
Out the numbers 543, 422, 360, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.