Online GCD Calculator is useful to find the GCD of 387, 380, 972, 712 quickly. Get the easiest ways to solve the greatest common divisor of 387, 380, 972, 712 i.e 1 in different methods as follows.
Given Input numbers are 387, 380, 972, 712
In the factoring method, we have to find the divisors of all numbers
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
GCD of numbers is the greatest common divisor
So, the GCD (387, 380, 972, 712) = 1.
Given numbers are 387, 380, 972, 712
The list of prime factors of all numbers are
Prime factors of 387 are 3 x 3 x 43
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 712 are 2 x 2 x 2 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 387, 380, 972, 712
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(387, 380) = 147060
GCD(387, 380) = ( 387 x 380 ) / 147060
= 387 / 380
= 387
Step2:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
Step3:
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
= 1 / 712
= 1
So, Greatest Common Divisor of 387, 380, 972, 712 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 387, 380, 972, 712
The greatest common divisor of numbers 387, 380, 972, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 380, 972, 712 is 1.
1. What is the GCD of 387, 380, 972, 712?
GCD of given numbers 387, 380, 972, 712 is 1
2. How to calculate the greatest common divisor of 387, 380, 972, 712?
We can find the highest common divisor of 387, 380, 972, 712 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 387, 380, 972, 712 i.e 1.
3. How can I use the GCD of 387, 380, 972, 712Calculator?
Out the numbers 387, 380, 972, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.