Online GCD Calculator is useful to find the GCD of 903, 966, 749, 180 quickly. Get the easiest ways to solve the greatest common divisor of 903, 966, 749, 180 i.e 1 in different methods as follows.
Given Input numbers are 903, 966, 749, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 903 :
The positive integer divisors of 903 that completely divides 903 are.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (903, 966, 749, 180) = 1.
Given numbers are 903, 966, 749, 180
The list of prime factors of all numbers are
Prime factors of 903 are 3 x 7 x 43
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 749 are 7 x 107
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 903, 966, 749, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(903, 966) = 41538
GCD(903, 966) = ( 903 x 966 ) / 41538
= 903 / 966
= 903
Step2:
LCM(21, 749) = 2247
GCD(21, 749) = ( 21 x 749 ) / 2247
= 21 / 749
= 21
Step3:
LCM(7, 180) = 1260
GCD(7, 180) = ( 7 x 180 ) / 1260
= 7 / 180
= 7
So, Greatest Common Divisor of 903, 966, 749, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 903, 966, 749, 180
The greatest common divisor of numbers 903, 966, 749, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 903, 966, 749, 180 is 1.
1. What is the GCD of 903, 966, 749, 180?
GCD of given numbers 903, 966, 749, 180 is 1
2. How to calculate the greatest common divisor of 903, 966, 749, 180?
We can find the highest common divisor of 903, 966, 749, 180 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 903, 966, 749, 180 i.e 1.
3. How can I use the GCD of 903, 966, 749, 180Calculator?
Out the numbers 903, 966, 749, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.