Online GCD Calculator is useful to find the GCD of 131, 764, 609, 992 quickly. Get the easiest ways to solve the greatest common divisor of 131, 764, 609, 992 i.e 1 in different methods as follows.
Given Input numbers are 131, 764, 609, 992
In the factoring method, we have to find the divisors of all numbers
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
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 (131, 764, 609, 992) = 1.
Given numbers are 131, 764, 609, 992
The list of prime factors of all numbers are
Prime factors of 131 are 131
Prime factors of 764 are 2 x 2 x 191
Prime factors of 609 are 3 x 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 131, 764, 609, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(131, 764) = 100084
GCD(131, 764) = ( 131 x 764 ) / 100084
= 131 / 764
= 131
Step2:
LCM(1, 609) = 609
GCD(1, 609) = ( 1 x 609 ) / 609
= 1 / 609
= 1
Step3:
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
= 1 / 992
= 1
So, Greatest Common Divisor of 131, 764, 609, 992 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 131, 764, 609, 992
The greatest common divisor of numbers 131, 764, 609, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 764, 609, 992 is 1.
1. What is the GCD of 131, 764, 609, 992?
GCD of given numbers 131, 764, 609, 992 is 1
2. How to calculate the greatest common divisor of 131, 764, 609, 992?
We can find the highest common divisor of 131, 764, 609, 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 131, 764, 609, 992 i.e 1.
3. How can I use the GCD of 131, 764, 609, 992Calculator?
Out the numbers 131, 764, 609, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.