Online GCD Calculator is useful to find the GCD of 471, 689, 963, 312 quickly. Get the easiest ways to solve the greatest common divisor of 471, 689, 963, 312 i.e 1 in different methods as follows.
Given Input numbers are 471, 689, 963, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (471, 689, 963, 312) = 1.
Given numbers are 471, 689, 963, 312
The list of prime factors of all numbers are
Prime factors of 471 are 3 x 157
Prime factors of 689 are 13 x 53
Prime factors of 963 are 3 x 3 x 107
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 471, 689, 963, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(471, 689) = 324519
GCD(471, 689) = ( 471 x 689 ) / 324519
= 471 / 689
= 471
Step2:
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
= 1 / 963
= 1
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 471, 689, 963, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 471, 689, 963, 312
The greatest common divisor of numbers 471, 689, 963, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 689, 963, 312 is 1.
1. What is the GCD of 471, 689, 963, 312?
GCD of given numbers 471, 689, 963, 312 is 1
2. How to calculate the greatest common divisor of 471, 689, 963, 312?
We can find the highest common divisor of 471, 689, 963, 312 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 471, 689, 963, 312 i.e 1.
3. How can I use the GCD of 471, 689, 963, 312Calculator?
Out the numbers 471, 689, 963, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.