Online GCD Calculator is useful to find the GCD of 428, 844, 622, 308 quickly. Get the easiest ways to solve the greatest common divisor of 428, 844, 622, 308 i.e 2 in different methods as follows.
Given Input numbers are 428, 844, 622, 308
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 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 622 :
The positive integer divisors of 622 that completely divides 622 are.
1, 2, 311, 622
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (428, 844, 622, 308) = 2.
Given numbers are 428, 844, 622, 308
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 844 are 2 x 2 x 211
Prime factors of 622 are 2 x 311
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 428, 844, 622, 308 is 2.
Given numbers are 428, 844, 622, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 844) = 90308
GCD(428, 844) = ( 428 x 844 ) / 90308
= 428 / 844
= 428
Step2:
LCM(4, 622) = 1244
GCD(4, 622) = ( 4 x 622 ) / 1244
= 4 / 622
= 4
Step3:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
So, Greatest Common Divisor of 428, 844, 622, 308 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 844, 622, 308
The greatest common divisor of numbers 428, 844, 622, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 844, 622, 308 is 2.
1. What is the GCD of 428, 844, 622, 308?
GCD of given numbers 428, 844, 622, 308 is 2
2. How to calculate the greatest common divisor of 428, 844, 622, 308?
We can find the highest common divisor of 428, 844, 622, 308 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, 844, 622, 308 i.e 2.
3. How can I use the GCD of 428, 844, 622, 308Calculator?
Out the numbers 428, 844, 622, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.