Online GCD Calculator is useful to find the GCD of 392, 238, 684, 428 quickly. Get the easiest ways to solve the greatest common divisor of 392, 238, 684, 428 i.e 2 in different methods as follows.
Given Input numbers are 392, 238, 684, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (392, 238, 684, 428) = 2.
Given numbers are 392, 238, 684, 428
The list of prime factors of all numbers are
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 238 are 2 x 7 x 17
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 428 are 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 392, 238, 684, 428 is 2.
Given numbers are 392, 238, 684, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(392, 238) = 6664
GCD(392, 238) = ( 392 x 238 ) / 6664
= 392 / 238
= 392
Step2:
LCM(14, 684) = 4788
GCD(14, 684) = ( 14 x 684 ) / 4788
= 14 / 684
= 14
Step3:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
So, Greatest Common Divisor of 392, 238, 684, 428 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 392, 238, 684, 428
The greatest common divisor of numbers 392, 238, 684, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 238, 684, 428 is 2.
1. What is the GCD of 392, 238, 684, 428?
GCD of given numbers 392, 238, 684, 428 is 2
2. How to calculate the greatest common divisor of 392, 238, 684, 428?
We can find the highest common divisor of 392, 238, 684, 428 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 392, 238, 684, 428 i.e 2.
3. How can I use the GCD of 392, 238, 684, 428Calculator?
Out the numbers 392, 238, 684, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.