Online GCD Calculator is useful to find the GCD of 189, 748, 287, 801 quickly. Get the easiest ways to solve the greatest common divisor of 189, 748, 287, 801 i.e 1 in different methods as follows.
Given Input numbers are 189, 748, 287, 801
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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 287 :
The positive integer divisors of 287 that completely divides 287 are.
1, 7, 41, 287
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
GCD of numbers is the greatest common divisor
So, the GCD (189, 748, 287, 801) = 1.
Given numbers are 189, 748, 287, 801
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 287 are 7 x 41
Prime factors of 801 are 3 x 3 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 748, 287, 801
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 748) = 141372
GCD(189, 748) = ( 189 x 748 ) / 141372
= 189 / 748
= 189
Step2:
LCM(1, 287) = 287
GCD(1, 287) = ( 1 x 287 ) / 287
= 1 / 287
= 1
Step3:
LCM(1, 801) = 801
GCD(1, 801) = ( 1 x 801 ) / 801
= 1 / 801
= 1
So, Greatest Common Divisor of 189, 748, 287, 801 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 748, 287, 801
The greatest common divisor of numbers 189, 748, 287, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 748, 287, 801 is 1.
1. What is the GCD of 189, 748, 287, 801?
GCD of given numbers 189, 748, 287, 801 is 1
2. How to calculate the greatest common divisor of 189, 748, 287, 801?
We can find the highest common divisor of 189, 748, 287, 801 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 189, 748, 287, 801 i.e 1.
3. How can I use the GCD of 189, 748, 287, 801Calculator?
Out the numbers 189, 748, 287, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.