Online GCD Calculator is useful to find the GCD of 354, 960, 990, 143 quickly. Get the easiest ways to solve the greatest common divisor of 354, 960, 990, 143 i.e 1 in different methods as follows.
Given Input numbers are 354, 960, 990, 143
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
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 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
GCD of numbers is the greatest common divisor
So, the GCD (354, 960, 990, 143) = 1.
Given numbers are 354, 960, 990, 143
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 143 are 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 354, 960, 990, 143
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 960) = 56640
GCD(354, 960) = ( 354 x 960 ) / 56640
= 354 / 960
= 354
Step2:
LCM(6, 990) = 990
GCD(6, 990) = ( 6 x 990 ) / 990
= 6 / 990
= 6
Step3:
LCM(6, 143) = 858
GCD(6, 143) = ( 6 x 143 ) / 858
= 6 / 143
= 6
So, Greatest Common Divisor of 354, 960, 990, 143 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 960, 990, 143
The greatest common divisor of numbers 354, 960, 990, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 960, 990, 143 is 1.
1. What is the GCD of 354, 960, 990, 143?
GCD of given numbers 354, 960, 990, 143 is 1
2. How to calculate the greatest common divisor of 354, 960, 990, 143?
We can find the highest common divisor of 354, 960, 990, 143 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 354, 960, 990, 143 i.e 1.
3. How can I use the GCD of 354, 960, 990, 143Calculator?
Out the numbers 354, 960, 990, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.