Online GCD Calculator is useful to find the GCD of 972, 295, 129, 993 quickly. Get the easiest ways to solve the greatest common divisor of 972, 295, 129, 993 i.e 1 in different methods as follows.
Given Input numbers are 972, 295, 129, 993
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 295 :
The positive integer divisors of 295 that completely divides 295 are.
1, 5, 59, 295
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
GCD of numbers is the greatest common divisor
So, the GCD (972, 295, 129, 993) = 1.
Given numbers are 972, 295, 129, 993
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 295 are 5 x 59
Prime factors of 129 are 3 x 43
Prime factors of 993 are 3 x 331
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 295, 129, 993
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 295) = 286740
GCD(972, 295) = ( 972 x 295 ) / 286740
= 972 / 295
= 972
Step2:
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
= 1 / 129
= 1
Step3:
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
= 1 / 993
= 1
So, Greatest Common Divisor of 972, 295, 129, 993 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 295, 129, 993
The greatest common divisor of numbers 972, 295, 129, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 295, 129, 993 is 1.
1. What is the GCD of 972, 295, 129, 993?
GCD of given numbers 972, 295, 129, 993 is 1
2. How to calculate the greatest common divisor of 972, 295, 129, 993?
We can find the highest common divisor of 972, 295, 129, 993 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, 295, 129, 993 i.e 1.
3. How can I use the GCD of 972, 295, 129, 993Calculator?
Out the numbers 972, 295, 129, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.