Online GCD Calculator is useful to find the GCD of 960, 376, 315, 774 quickly. Get the easiest ways to solve the greatest common divisor of 960, 376, 315, 774 i.e 1 in different methods as follows.
Given Input numbers are 960, 376, 315, 774
In the factoring method, we have to find the divisors of all numbers
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
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
GCD of numbers is the greatest common divisor
So, the GCD (960, 376, 315, 774) = 1.
Given numbers are 960, 376, 315, 774
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 774 are 2 x 3 x 3 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 960, 376, 315, 774
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 376) = 45120
GCD(960, 376) = ( 960 x 376 ) / 45120
= 960 / 376
= 960
Step2:
LCM(8, 315) = 2520
GCD(8, 315) = ( 8 x 315 ) / 2520
= 8 / 315
= 8
Step3:
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
= 1 / 774
= 1
So, Greatest Common Divisor of 960, 376, 315, 774 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 376, 315, 774
The greatest common divisor of numbers 960, 376, 315, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 376, 315, 774 is 1.
1. What is the GCD of 960, 376, 315, 774?
GCD of given numbers 960, 376, 315, 774 is 1
2. How to calculate the greatest common divisor of 960, 376, 315, 774?
We can find the highest common divisor of 960, 376, 315, 774 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 960, 376, 315, 774 i.e 1.
3. How can I use the GCD of 960, 376, 315, 774Calculator?
Out the numbers 960, 376, 315, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.