Online GCD Calculator is useful to find the GCD of 772, 455, 314, 684 quickly. Get the easiest ways to solve the greatest common divisor of 772, 455, 314, 684 i.e 1 in different methods as follows.
Given Input numbers are 772, 455, 314, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 455 :
The positive integer divisors of 455 that completely divides 455 are.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
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
GCD of numbers is the greatest common divisor
So, the GCD (772, 455, 314, 684) = 1.
Given numbers are 772, 455, 314, 684
The list of prime factors of all numbers are
Prime factors of 772 are 2 x 2 x 193
Prime factors of 455 are 5 x 7 x 13
Prime factors of 314 are 2 x 157
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 772, 455, 314, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(772, 455) = 351260
GCD(772, 455) = ( 772 x 455 ) / 351260
= 772 / 455
= 772
Step2:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
Step3:
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
= 1 / 684
= 1
So, Greatest Common Divisor of 772, 455, 314, 684 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 772, 455, 314, 684
The greatest common divisor of numbers 772, 455, 314, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 455, 314, 684 is 1.
1. What is the GCD of 772, 455, 314, 684?
GCD of given numbers 772, 455, 314, 684 is 1
2. How to calculate the greatest common divisor of 772, 455, 314, 684?
We can find the highest common divisor of 772, 455, 314, 684 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 772, 455, 314, 684 i.e 1.
3. How can I use the GCD of 772, 455, 314, 684Calculator?
Out the numbers 772, 455, 314, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.