Online GCD Calculator is useful to find the GCD of 852, 214, 351, 798 quickly. Get the easiest ways to solve the greatest common divisor of 852, 214, 351, 798 i.e 1 in different methods as follows.
Given Input numbers are 852, 214, 351, 798
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
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
GCD of numbers is the greatest common divisor
So, the GCD (852, 214, 351, 798) = 1.
Given numbers are 852, 214, 351, 798
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 214 are 2 x 107
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 798 are 2 x 3 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 852, 214, 351, 798
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 214) = 91164
GCD(852, 214) = ( 852 x 214 ) / 91164
= 852 / 214
= 852
Step2:
LCM(2, 351) = 702
GCD(2, 351) = ( 2 x 351 ) / 702
= 2 / 351
= 2
Step3:
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
= 1 / 798
= 1
So, Greatest Common Divisor of 852, 214, 351, 798 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 214, 351, 798
The greatest common divisor of numbers 852, 214, 351, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 214, 351, 798 is 1.
1. What is the GCD of 852, 214, 351, 798?
GCD of given numbers 852, 214, 351, 798 is 1
2. How to calculate the greatest common divisor of 852, 214, 351, 798?
We can find the highest common divisor of 852, 214, 351, 798 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 852, 214, 351, 798 i.e 1.
3. How can I use the GCD of 852, 214, 351, 798Calculator?
Out the numbers 852, 214, 351, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.