Online GCD Calculator is useful to find the GCD of 428, 804, 590, 338 quickly. Get the easiest ways to solve the greatest common divisor of 428, 804, 590, 338 i.e 2 in different methods as follows.
Given Input numbers are 428, 804, 590, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (428, 804, 590, 338) = 2.
Given numbers are 428, 804, 590, 338
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 590 are 2 x 5 x 59
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 428, 804, 590, 338 is 2.
Given numbers are 428, 804, 590, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 804) = 86028
GCD(428, 804) = ( 428 x 804 ) / 86028
= 428 / 804
= 428
Step2:
LCM(4, 590) = 1180
GCD(4, 590) = ( 4 x 590 ) / 1180
= 4 / 590
= 4
Step3:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
So, Greatest Common Divisor of 428, 804, 590, 338 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 804, 590, 338
The greatest common divisor of numbers 428, 804, 590, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 804, 590, 338 is 2.
1. What is the GCD of 428, 804, 590, 338?
GCD of given numbers 428, 804, 590, 338 is 2
2. How to calculate the greatest common divisor of 428, 804, 590, 338?
We can find the highest common divisor of 428, 804, 590, 338 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 428, 804, 590, 338 i.e 2.
3. How can I use the GCD of 428, 804, 590, 338Calculator?
Out the numbers 428, 804, 590, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.