Online GCD Calculator is useful to find the GCD of 972, 729, 791, 759 quickly. Get the easiest ways to solve the greatest common divisor of 972, 729, 791, 759 i.e 1 in different methods as follows.
Given Input numbers are 972, 729, 791, 759
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
GCD of numbers is the greatest common divisor
So, the GCD (972, 729, 791, 759) = 1.
Given numbers are 972, 729, 791, 759
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 791 are 7 x 113
Prime factors of 759 are 3 x 11 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 729, 791, 759
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 729) = 2916
GCD(972, 729) = ( 972 x 729 ) / 2916
= 972 / 729
= 972
Step2:
LCM(243, 791) = 192213
GCD(243, 791) = ( 243 x 791 ) / 192213
= 243 / 791
= 243
Step3:
LCM(1, 759) = 759
GCD(1, 759) = ( 1 x 759 ) / 759
= 1 / 759
= 1
So, Greatest Common Divisor of 972, 729, 791, 759 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 729, 791, 759
The greatest common divisor of numbers 972, 729, 791, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 729, 791, 759 is 1.
1. What is the GCD of 972, 729, 791, 759?
GCD of given numbers 972, 729, 791, 759 is 1
2. How to calculate the greatest common divisor of 972, 729, 791, 759?
We can find the highest common divisor of 972, 729, 791, 759 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 972, 729, 791, 759 i.e 1.
3. How can I use the GCD of 972, 729, 791, 759Calculator?
Out the numbers 972, 729, 791, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.