Online GCD Calculator is useful to find the GCD of 822, 360, 842, 543 quickly. Get the easiest ways to solve the greatest common divisor of 822, 360, 842, 543 i.e 1 in different methods as follows.
Given Input numbers are 822, 360, 842, 543
In the factoring method, we have to find the divisors of all numbers
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
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 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
GCD of numbers is the greatest common divisor
So, the GCD (822, 360, 842, 543) = 1.
Given numbers are 822, 360, 842, 543
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 842 are 2 x 421
Prime factors of 543 are 3 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 822, 360, 842, 543
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 360) = 49320
GCD(822, 360) = ( 822 x 360 ) / 49320
= 822 / 360
= 822
Step2:
LCM(6, 842) = 2526
GCD(6, 842) = ( 6 x 842 ) / 2526
= 6 / 842
= 6
Step3:
LCM(2, 543) = 1086
GCD(2, 543) = ( 2 x 543 ) / 1086
= 2 / 543
= 2
So, Greatest Common Divisor of 822, 360, 842, 543 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 360, 842, 543
The greatest common divisor of numbers 822, 360, 842, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 360, 842, 543 is 1.
1. What is the GCD of 822, 360, 842, 543?
GCD of given numbers 822, 360, 842, 543 is 1
2. How to calculate the greatest common divisor of 822, 360, 842, 543?
We can find the highest common divisor of 822, 360, 842, 543 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 822, 360, 842, 543 i.e 1.
3. How can I use the GCD of 822, 360, 842, 543Calculator?
Out the numbers 822, 360, 842, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.