Online GCD Calculator is useful to find the GCD of 140, 344, 33, 999 quickly. Get the easiest ways to solve the greatest common divisor of 140, 344, 33, 999 i.e 1 in different methods as follows.
Given Input numbers are 140, 344, 33, 999
In the factoring method, we have to find the divisors of all numbers
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 33 :
The positive integer divisors of 33 that completely divides 33 are.
1, 3, 11, 33
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
GCD of numbers is the greatest common divisor
So, the GCD (140, 344, 33, 999) = 1.
Given numbers are 140, 344, 33, 999
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 33 are 3 x 11
Prime factors of 999 are 3 x 3 x 3 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 140, 344, 33, 999
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 344) = 12040
GCD(140, 344) = ( 140 x 344 ) / 12040
= 140 / 344
= 140
Step2:
LCM(4, 33) = 132
GCD(4, 33) = ( 4 x 33 ) / 132
= 4 / 33
= 4
Step3:
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
= 1 / 999
= 1
So, Greatest Common Divisor of 140, 344, 33, 999 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 344, 33, 999
The greatest common divisor of numbers 140, 344, 33, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 344, 33, 999 is 1.
1. What is the GCD of 140, 344, 33, 999?
GCD of given numbers 140, 344, 33, 999 is 1
2. How to calculate the greatest common divisor of 140, 344, 33, 999?
We can find the highest common divisor of 140, 344, 33, 999 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 140, 344, 33, 999 i.e 1.
3. How can I use the GCD of 140, 344, 33, 999Calculator?
Out the numbers 140, 344, 33, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.