Online GCD Calculator is useful to find the GCD of 798, 543, 216, 355 quickly. Get the easiest ways to solve the greatest common divisor of 798, 543, 216, 355 i.e 1 in different methods as follows.
Given Input numbers are 798, 543, 216, 355
In the factoring method, we have to find the divisors of all numbers
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (798, 543, 216, 355) = 1.
Given numbers are 798, 543, 216, 355
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 543 are 3 x 181
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 798, 543, 216, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 543) = 144438
GCD(798, 543) = ( 798 x 543 ) / 144438
= 798 / 543
= 798
Step2:
LCM(3, 216) = 216
GCD(3, 216) = ( 3 x 216 ) / 216
= 3 / 216
= 3
Step3:
LCM(3, 355) = 1065
GCD(3, 355) = ( 3 x 355 ) / 1065
= 3 / 355
= 3
So, Greatest Common Divisor of 798, 543, 216, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 543, 216, 355
The greatest common divisor of numbers 798, 543, 216, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 543, 216, 355 is 1.
1. What is the GCD of 798, 543, 216, 355?
GCD of given numbers 798, 543, 216, 355 is 1
2. How to calculate the greatest common divisor of 798, 543, 216, 355?
We can find the highest common divisor of 798, 543, 216, 355 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 798, 543, 216, 355 i.e 1.
3. How can I use the GCD of 798, 543, 216, 355Calculator?
Out the numbers 798, 543, 216, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.