Online GCD Calculator is useful to find the GCD of 723, 611, 764, 972 quickly. Get the easiest ways to solve the greatest common divisor of 723, 611, 764, 972 i.e 1 in different methods as follows.
Given Input numbers are 723, 611, 764, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 611 :
The positive integer divisors of 611 that completely divides 611 are.
1, 13, 47, 611
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (723, 611, 764, 972) = 1.
Given numbers are 723, 611, 764, 972
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 611 are 13 x 47
Prime factors of 764 are 2 x 2 x 191
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 723, 611, 764, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 611) = 441753
GCD(723, 611) = ( 723 x 611 ) / 441753
= 723 / 611
= 723
Step2:
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
= 1 / 764
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 723, 611, 764, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 723, 611, 764, 972
The greatest common divisor of numbers 723, 611, 764, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 611, 764, 972 is 1.
1. What is the GCD of 723, 611, 764, 972?
GCD of given numbers 723, 611, 764, 972 is 1
2. How to calculate the greatest common divisor of 723, 611, 764, 972?
We can find the highest common divisor of 723, 611, 764, 972 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 723, 611, 764, 972 i.e 1.
3. How can I use the GCD of 723, 611, 764, 972Calculator?
Out the numbers 723, 611, 764, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.