Online GCD Calculator is useful to find the GCD of 189, 784, 953, 721 quickly. Get the easiest ways to solve the greatest common divisor of 189, 784, 953, 721 i.e 1 in different methods as follows.
Given Input numbers are 189, 784, 953, 721
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 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 953 :
The positive integer divisors of 953 that completely divides 953 are.
1, 953
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (189, 784, 953, 721) = 1.
Given numbers are 189, 784, 953, 721
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 953 are 953
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 189, 784, 953, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 784) = 21168
GCD(189, 784) = ( 189 x 784 ) / 21168
= 189 / 784
= 189
Step2:
LCM(7, 953) = 6671
GCD(7, 953) = ( 7 x 953 ) / 6671
= 7 / 953
= 7
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 189, 784, 953, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 784, 953, 721
The greatest common divisor of numbers 189, 784, 953, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 784, 953, 721 is 1.
1. What is the GCD of 189, 784, 953, 721?
GCD of given numbers 189, 784, 953, 721 is 1
2. How to calculate the greatest common divisor of 189, 784, 953, 721?
We can find the highest common divisor of 189, 784, 953, 721 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, 784, 953, 721 i.e 1.
3. How can I use the GCD of 189, 784, 953, 721Calculator?
Out the numbers 189, 784, 953, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.