Online GCD Calculator is useful to find the GCD of 999, 762, 242, 382 quickly. Get the easiest ways to solve the greatest common divisor of 999, 762, 242, 382 i.e 1 in different methods as follows.
Given Input numbers are 999, 762, 242, 382
In the factoring method, we have to find the divisors of all numbers
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (999, 762, 242, 382) = 1.
Given numbers are 999, 762, 242, 382
The list of prime factors of all numbers are
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 762 are 2 x 3 x 127
Prime factors of 242 are 2 x 11 x 11
Prime factors of 382 are 2 x 191
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 999, 762, 242, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(999, 762) = 253746
GCD(999, 762) = ( 999 x 762 ) / 253746
= 999 / 762
= 999
Step2:
LCM(3, 242) = 726
GCD(3, 242) = ( 3 x 242 ) / 726
= 3 / 242
= 3
Step3:
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
= 1 / 382
= 1
So, Greatest Common Divisor of 999, 762, 242, 382 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 999, 762, 242, 382
The greatest common divisor of numbers 999, 762, 242, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 762, 242, 382 is 1.
1. What is the GCD of 999, 762, 242, 382?
GCD of given numbers 999, 762, 242, 382 is 1
2. How to calculate the greatest common divisor of 999, 762, 242, 382?
We can find the highest common divisor of 999, 762, 242, 382 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 999, 762, 242, 382 i.e 1.
3. How can I use the GCD of 999, 762, 242, 382Calculator?
Out the numbers 999, 762, 242, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.