Online GCD Calculator is useful to find the GCD of 424, 758, 306, 368 quickly. Get the easiest ways to solve the greatest common divisor of 424, 758, 306, 368 i.e 2 in different methods as follows.
Given Input numbers are 424, 758, 306, 368
In the factoring method, we have to find the divisors of all numbers
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
GCD of numbers is the greatest common divisor
So, the GCD (424, 758, 306, 368) = 2.
Given numbers are 424, 758, 306, 368
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 758 are 2 x 379
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
The highest common occurrence is 21
Therefore, GCD of 424, 758, 306, 368 is 2.
Given numbers are 424, 758, 306, 368
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 758) = 160696
GCD(424, 758) = ( 424 x 758 ) / 160696
= 424 / 758
= 424
Step2:
LCM(2, 306) = 306
GCD(2, 306) = ( 2 x 306 ) / 306
= 2 / 306
= 2
Step3:
LCM(2, 368) = 368
GCD(2, 368) = ( 2 x 368 ) / 368
= 2 / 368
= 2
So, Greatest Common Divisor of 424, 758, 306, 368 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 758, 306, 368
The greatest common divisor of numbers 424, 758, 306, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 758, 306, 368 is 2.
1. What is the GCD of 424, 758, 306, 368?
GCD of given numbers 424, 758, 306, 368 is 2
2. How to calculate the greatest common divisor of 424, 758, 306, 368?
We can find the highest common divisor of 424, 758, 306, 368 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 424, 758, 306, 368 i.e 2.
3. How can I use the GCD of 424, 758, 306, 368Calculator?
Out the numbers 424, 758, 306, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.