Online GCD Calculator is useful to find the GCD of 798, 258, 852, 789 quickly. Get the easiest ways to solve the greatest common divisor of 798, 258, 852, 789 i.e 3 in different methods as follows.
Given Input numbers are 798, 258, 852, 789
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 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
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 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
GCD of numbers is the greatest common divisor
So, the GCD (798, 258, 852, 789) = 3.
Given numbers are 798, 258, 852, 789
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 258 are 2 x 3 x 43
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 789 are 3 x 263
The highest common occurrence is 31
Therefore, GCD of 798, 258, 852, 789 is 3.
Given numbers are 798, 258, 852, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 258) = 34314
GCD(798, 258) = ( 798 x 258 ) / 34314
= 798 / 258
= 798
Step2:
LCM(6, 852) = 852
GCD(6, 852) = ( 6 x 852 ) / 852
= 6 / 852
= 6
Step3:
LCM(6, 789) = 1578
GCD(6, 789) = ( 6 x 789 ) / 1578
= 6 / 789
= 6
So, Greatest Common Divisor of 798, 258, 852, 789 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 258, 852, 789
The greatest common divisor of numbers 798, 258, 852, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 258, 852, 789 is 3.
1. What is the GCD of 798, 258, 852, 789?
GCD of given numbers 798, 258, 852, 789 is 3
2. How to calculate the greatest common divisor of 798, 258, 852, 789?
We can find the highest common divisor of 798, 258, 852, 789 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, 258, 852, 789 i.e 3.
3. How can I use the GCD of 798, 258, 852, 789Calculator?
Out the numbers 798, 258, 852, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.