Online GCD Calculator is useful to find the GCD of 471, 960, 114, 137 quickly. Get the easiest ways to solve the greatest common divisor of 471, 960, 114, 137 i.e 1 in different methods as follows.
Given Input numbers are 471, 960, 114, 137
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 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 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
GCD of numbers is the greatest common divisor
So, the GCD (471, 960, 114, 137) = 1.
Given numbers are 471, 960, 114, 137
The list of prime factors of all numbers are
Prime factors of 471 are 3 x 157
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 114 are 2 x 3 x 19
Prime factors of 137 are 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 471, 960, 114, 137
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(471, 960) = 150720
GCD(471, 960) = ( 471 x 960 ) / 150720
= 471 / 960
= 471
Step2:
LCM(3, 114) = 114
GCD(3, 114) = ( 3 x 114 ) / 114
= 3 / 114
= 3
Step3:
LCM(3, 137) = 411
GCD(3, 137) = ( 3 x 137 ) / 411
= 3 / 137
= 3
So, Greatest Common Divisor of 471, 960, 114, 137 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 471, 960, 114, 137
The greatest common divisor of numbers 471, 960, 114, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 960, 114, 137 is 1.
1. What is the GCD of 471, 960, 114, 137?
GCD of given numbers 471, 960, 114, 137 is 1
2. How to calculate the greatest common divisor of 471, 960, 114, 137?
We can find the highest common divisor of 471, 960, 114, 137 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, 960, 114, 137 i.e 1.
3. How can I use the GCD of 471, 960, 114, 137Calculator?
Out the numbers 471, 960, 114, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.