Online GCD Calculator is useful to find the GCD of 351, 505, 112, 960 quickly. Get the easiest ways to solve the greatest common divisor of 351, 505, 112, 960 i.e 1 in different methods as follows.
Given Input numbers are 351, 505, 112, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
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
GCD of numbers is the greatest common divisor
So, the GCD (351, 505, 112, 960) = 1.
Given numbers are 351, 505, 112, 960
The list of prime factors of all numbers are
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 505 are 5 x 101
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 351, 505, 112, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(351, 505) = 177255
GCD(351, 505) = ( 351 x 505 ) / 177255
= 351 / 505
= 351
Step2:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
Step3:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
So, Greatest Common Divisor of 351, 505, 112, 960 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 351, 505, 112, 960
The greatest common divisor of numbers 351, 505, 112, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 505, 112, 960 is 1.
1. What is the GCD of 351, 505, 112, 960?
GCD of given numbers 351, 505, 112, 960 is 1
2. How to calculate the greatest common divisor of 351, 505, 112, 960?
We can find the highest common divisor of 351, 505, 112, 960 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 351, 505, 112, 960 i.e 1.
3. How can I use the GCD of 351, 505, 112, 960Calculator?
Out the numbers 351, 505, 112, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.