Online GCD Calculator is useful to find the GCD of 992, 729, 142, 788 quickly. Get the easiest ways to solve the greatest common divisor of 992, 729, 142, 788 i.e 1 in different methods as follows.
Given Input numbers are 992, 729, 142, 788
In the factoring method, we have to find the divisors of all numbers
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
GCD of numbers is the greatest common divisor
So, the GCD (992, 729, 142, 788) = 1.
Given numbers are 992, 729, 142, 788
The list of prime factors of all numbers are
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 142 are 2 x 71
Prime factors of 788 are 2 x 2 x 197
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 992, 729, 142, 788
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(992, 729) = 723168
GCD(992, 729) = ( 992 x 729 ) / 723168
= 992 / 729
= 992
Step2:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
Step3:
LCM(1, 788) = 788
GCD(1, 788) = ( 1 x 788 ) / 788
= 1 / 788
= 1
So, Greatest Common Divisor of 992, 729, 142, 788 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 992, 729, 142, 788
The greatest common divisor of numbers 992, 729, 142, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 729, 142, 788 is 1.
1. What is the GCD of 992, 729, 142, 788?
GCD of given numbers 992, 729, 142, 788 is 1
2. How to calculate the greatest common divisor of 992, 729, 142, 788?
We can find the highest common divisor of 992, 729, 142, 788 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 992, 729, 142, 788 i.e 1.
3. How can I use the GCD of 992, 729, 142, 788Calculator?
Out the numbers 992, 729, 142, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.