Online GCD Calculator is useful to find the GCD of 543, 800, 160, 420 quickly. Get the easiest ways to solve the greatest common divisor of 543, 800, 160, 420 i.e 1 in different methods as follows.
Given Input numbers are 543, 800, 160, 420
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 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 (543, 800, 160, 420) = 1.
Given numbers are 543, 800, 160, 420
The list of prime factors of all numbers are
Prime factors of 543 are 3 x 181
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
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 543, 800, 160, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(543, 800) = 434400
GCD(543, 800) = ( 543 x 800 ) / 434400
= 543 / 800
= 543
Step2:
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
= 1 / 160
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 543, 800, 160, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 543, 800, 160, 420
The greatest common divisor of numbers 543, 800, 160, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 543, 800, 160, 420 is 1.
1. What is the GCD of 543, 800, 160, 420?
GCD of given numbers 543, 800, 160, 420 is 1
2. How to calculate the greatest common divisor of 543, 800, 160, 420?
We can find the highest common divisor of 543, 800, 160, 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 543, 800, 160, 420 i.e 1.
3. How can I use the GCD of 543, 800, 160, 420Calculator?
Out the numbers 543, 800, 160, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.