Online GCD Calculator is useful to find the GCD of 426, 225, 468, 798 quickly. Get the easiest ways to solve the greatest common divisor of 426, 225, 468, 798 i.e 3 in different methods as follows.
Given Input numbers are 426, 225, 468, 798
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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 (426, 225, 468, 798) = 3.
Given numbers are 426, 225, 468, 798
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 798 are 2 x 3 x 7 x 19
The highest common occurrence is 31
Therefore, GCD of 426, 225, 468, 798 is 3.
Given numbers are 426, 225, 468, 798
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 225) = 31950
GCD(426, 225) = ( 426 x 225 ) / 31950
= 426 / 225
= 426
Step2:
LCM(3, 468) = 468
GCD(3, 468) = ( 3 x 468 ) / 468
= 3 / 468
= 3
Step3:
LCM(3, 798) = 798
GCD(3, 798) = ( 3 x 798 ) / 798
= 3 / 798
= 3
So, Greatest Common Divisor of 426, 225, 468, 798 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 225, 468, 798
The greatest common divisor of numbers 426, 225, 468, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 225, 468, 798 is 3.
1. What is the GCD of 426, 225, 468, 798?
GCD of given numbers 426, 225, 468, 798 is 3
2. How to calculate the greatest common divisor of 426, 225, 468, 798?
We can find the highest common divisor of 426, 225, 468, 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 426, 225, 468, 798 i.e 3.
3. How can I use the GCD of 426, 225, 468, 798Calculator?
Out the numbers 426, 225, 468, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.