Online GCD Calculator is useful to find the GCD of 999, 379, 760, 362 quickly. Get the easiest ways to solve the greatest common divisor of 999, 379, 760, 362 i.e 1 in different methods as follows.
Given Input numbers are 999, 379, 760, 362
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 379 :
The positive integer divisors of 379 that completely divides 379 are.
1, 379
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (999, 379, 760, 362) = 1.
Given numbers are 999, 379, 760, 362
The list of prime factors of all numbers are
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 379 are 379
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 362 are 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 999, 379, 760, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(999, 379) = 378621
GCD(999, 379) = ( 999 x 379 ) / 378621
= 999 / 379
= 999
Step2:
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
= 1 / 760
= 1
Step3:
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
= 1 / 362
= 1
So, Greatest Common Divisor of 999, 379, 760, 362 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 999, 379, 760, 362
The greatest common divisor of numbers 999, 379, 760, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 379, 760, 362 is 1.
1. What is the GCD of 999, 379, 760, 362?
GCD of given numbers 999, 379, 760, 362 is 1
2. How to calculate the greatest common divisor of 999, 379, 760, 362?
We can find the highest common divisor of 999, 379, 760, 362 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, 379, 760, 362 i.e 1.
3. How can I use the GCD of 999, 379, 760, 362Calculator?
Out the numbers 999, 379, 760, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.