Online GCD Calculator is useful to find the GCD of 378, 971, 774, 916 quickly. Get the easiest ways to solve the greatest common divisor of 378, 971, 774, 916 i.e 1 in different methods as follows.
Given Input numbers are 378, 971, 774, 916
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (378, 971, 774, 916) = 1.
Given numbers are 378, 971, 774, 916
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 971 are 971
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 916 are 2 x 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 378, 971, 774, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 971) = 367038
GCD(378, 971) = ( 378 x 971 ) / 367038
= 378 / 971
= 378
Step2:
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
= 1 / 774
= 1
Step3:
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
= 1 / 916
= 1
So, Greatest Common Divisor of 378, 971, 774, 916 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 971, 774, 916
The greatest common divisor of numbers 378, 971, 774, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 971, 774, 916 is 1.
1. What is the GCD of 378, 971, 774, 916?
GCD of given numbers 378, 971, 774, 916 is 1
2. How to calculate the greatest common divisor of 378, 971, 774, 916?
We can find the highest common divisor of 378, 971, 774, 916 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 378, 971, 774, 916 i.e 1.
3. How can I use the GCD of 378, 971, 774, 916Calculator?
Out the numbers 378, 971, 774, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.