Online GCD Calculator is useful to find the GCD of 351, 396, 912, 784 quickly. Get the easiest ways to solve the greatest common divisor of 351, 396, 912, 784 i.e 1 in different methods as follows.
Given Input numbers are 351, 396, 912, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
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 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (351, 396, 912, 784) = 1.
Given numbers are 351, 396, 912, 784
The list of prime factors of all numbers are
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 351, 396, 912, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(351, 396) = 15444
GCD(351, 396) = ( 351 x 396 ) / 15444
= 351 / 396
= 351
Step2:
LCM(9, 912) = 2736
GCD(9, 912) = ( 9 x 912 ) / 2736
= 9 / 912
= 9
Step3:
LCM(3, 784) = 2352
GCD(3, 784) = ( 3 x 784 ) / 2352
= 3 / 784
= 3
So, Greatest Common Divisor of 351, 396, 912, 784 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 351, 396, 912, 784
The greatest common divisor of numbers 351, 396, 912, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 396, 912, 784 is 1.
1. What is the GCD of 351, 396, 912, 784?
GCD of given numbers 351, 396, 912, 784 is 1
2. How to calculate the greatest common divisor of 351, 396, 912, 784?
We can find the highest common divisor of 351, 396, 912, 784 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 351, 396, 912, 784 i.e 1.
3. How can I use the GCD of 351, 396, 912, 784Calculator?
Out the numbers 351, 396, 912, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.