Online GCD Calculator is useful to find the GCD of 772, 407, 387, 105 quickly. Get the easiest ways to solve the greatest common divisor of 772, 407, 387, 105 i.e 1 in different methods as follows.
Given Input numbers are 772, 407, 387, 105
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 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (772, 407, 387, 105) = 1.
Given numbers are 772, 407, 387, 105
The list of prime factors of all numbers are
Prime factors of 772 are 2 x 2 x 193
Prime factors of 407 are 11 x 37
Prime factors of 387 are 3 x 3 x 43
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 772, 407, 387, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(772, 407) = 314204
GCD(772, 407) = ( 772 x 407 ) / 314204
= 772 / 407
= 772
Step2:
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
= 1 / 387
= 1
Step3:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
So, Greatest Common Divisor of 772, 407, 387, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 772, 407, 387, 105
The greatest common divisor of numbers 772, 407, 387, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 407, 387, 105 is 1.
1. What is the GCD of 772, 407, 387, 105?
GCD of given numbers 772, 407, 387, 105 is 1
2. How to calculate the greatest common divisor of 772, 407, 387, 105?
We can find the highest common divisor of 772, 407, 387, 105 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, 407, 387, 105 i.e 1.
3. How can I use the GCD of 772, 407, 387, 105Calculator?
Out the numbers 772, 407, 387, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.