Online GCD Calculator is useful to find the GCD of 748, 891, 171, 372 quickly. Get the easiest ways to solve the greatest common divisor of 748, 891, 171, 372 i.e 1 in different methods as follows.
Given Input numbers are 748, 891, 171, 372
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
GCD of numbers is the greatest common divisor
So, the GCD (748, 891, 171, 372) = 1.
Given numbers are 748, 891, 171, 372
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 171 are 3 x 3 x 19
Prime factors of 372 are 2 x 2 x 3 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 891, 171, 372
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 891) = 60588
GCD(748, 891) = ( 748 x 891 ) / 60588
= 748 / 891
= 748
Step2:
LCM(11, 171) = 1881
GCD(11, 171) = ( 11 x 171 ) / 1881
= 11 / 171
= 11
Step3:
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
= 1 / 372
= 1
So, Greatest Common Divisor of 748, 891, 171, 372 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 891, 171, 372
The greatest common divisor of numbers 748, 891, 171, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 891, 171, 372 is 1.
1. What is the GCD of 748, 891, 171, 372?
GCD of given numbers 748, 891, 171, 372 is 1
2. How to calculate the greatest common divisor of 748, 891, 171, 372?
We can find the highest common divisor of 748, 891, 171, 372 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 748, 891, 171, 372 i.e 1.
3. How can I use the GCD of 748, 891, 171, 372Calculator?
Out the numbers 748, 891, 171, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.