Online GCD Calculator is useful to find the GCD of 396, 600, 788, 348 quickly. Get the easiest ways to solve the greatest common divisor of 396, 600, 788, 348 i.e 4 in different methods as follows.
Given Input numbers are 396, 600, 788, 348
In the factoring method, we have to find the divisors of all numbers
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
GCD of numbers is the greatest common divisor
So, the GCD (396, 600, 788, 348) = 4.
Given numbers are 396, 600, 788, 348
The list of prime factors of all numbers are
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 788 are 2 x 2 x 197
Prime factors of 348 are 2 x 2 x 3 x 29
The highest common occurrence is 22
Therefore, GCD of 396, 600, 788, 348 is 4.
Given numbers are 396, 600, 788, 348
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(396, 600) = 19800
GCD(396, 600) = ( 396 x 600 ) / 19800
= 396 / 600
= 396
Step2:
LCM(12, 788) = 2364
GCD(12, 788) = ( 12 x 788 ) / 2364
= 12 / 788
= 12
Step3:
LCM(4, 348) = 348
GCD(4, 348) = ( 4 x 348 ) / 348
= 4 / 348
= 4
So, Greatest Common Divisor of 396, 600, 788, 348 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 396, 600, 788, 348
The greatest common divisor of numbers 396, 600, 788, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 600, 788, 348 is 4.
1. What is the GCD of 396, 600, 788, 348?
GCD of given numbers 396, 600, 788, 348 is 4
2. How to calculate the greatest common divisor of 396, 600, 788, 348?
We can find the highest common divisor of 396, 600, 788, 348 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 396, 600, 788, 348 i.e 4.
3. How can I use the GCD of 396, 600, 788, 348Calculator?
Out the numbers 396, 600, 788, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.