Online GCD Calculator is useful to find the GCD of 972, 723, 203, 992 quickly. Get the easiest ways to solve the greatest common divisor of 972, 723, 203, 992 i.e 1 in different methods as follows.
Given Input numbers are 972, 723, 203, 992
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 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 203 :
The positive integer divisors of 203 that completely divides 203 are.
1, 7, 29, 203
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
GCD of numbers is the greatest common divisor
So, the GCD (972, 723, 203, 992) = 1.
Given numbers are 972, 723, 203, 992
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 723 are 3 x 241
Prime factors of 203 are 7 x 29
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 723, 203, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 723) = 234252
GCD(972, 723) = ( 972 x 723 ) / 234252
= 972 / 723
= 972
Step2:
LCM(3, 203) = 609
GCD(3, 203) = ( 3 x 203 ) / 609
= 3 / 203
= 3
Step3:
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
= 1 / 992
= 1
So, Greatest Common Divisor of 972, 723, 203, 992 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 723, 203, 992
The greatest common divisor of numbers 972, 723, 203, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 723, 203, 992 is 1.
1. What is the GCD of 972, 723, 203, 992?
GCD of given numbers 972, 723, 203, 992 is 1
2. How to calculate the greatest common divisor of 972, 723, 203, 992?
We can find the highest common divisor of 972, 723, 203, 992 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, 723, 203, 992 i.e 1.
3. How can I use the GCD of 972, 723, 203, 992Calculator?
Out the numbers 972, 723, 203, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.