Online GCD Calculator is useful to find the GCD of 378, 596, 832, 343 quickly. Get the easiest ways to solve the greatest common divisor of 378, 596, 832, 343 i.e 1 in different methods as follows.
Given Input numbers are 378, 596, 832, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (378, 596, 832, 343) = 1.
Given numbers are 378, 596, 832, 343
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 596 are 2 x 2 x 149
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 378, 596, 832, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 596) = 112644
GCD(378, 596) = ( 378 x 596 ) / 112644
= 378 / 596
= 378
Step2:
LCM(2, 832) = 832
GCD(2, 832) = ( 2 x 832 ) / 832
= 2 / 832
= 2
Step3:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
So, Greatest Common Divisor of 378, 596, 832, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 596, 832, 343
The greatest common divisor of numbers 378, 596, 832, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 596, 832, 343 is 1.
1. What is the GCD of 378, 596, 832, 343?
GCD of given numbers 378, 596, 832, 343 is 1
2. How to calculate the greatest common divisor of 378, 596, 832, 343?
We can find the highest common divisor of 378, 596, 832, 343 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 378, 596, 832, 343 i.e 1.
3. How can I use the GCD of 378, 596, 832, 343Calculator?
Out the numbers 378, 596, 832, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.