Online GCD Calculator is useful to find the GCD of 753, 345, 334, 838 quickly. Get the easiest ways to solve the greatest common divisor of 753, 345, 334, 838 i.e 1 in different methods as follows.
Given Input numbers are 753, 345, 334, 838
In the factoring method, we have to find the divisors of all numbers
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
GCD of numbers is the greatest common divisor
So, the GCD (753, 345, 334, 838) = 1.
Given numbers are 753, 345, 334, 838
The list of prime factors of all numbers are
Prime factors of 753 are 3 x 251
Prime factors of 345 are 3 x 5 x 23
Prime factors of 334 are 2 x 167
Prime factors of 838 are 2 x 419
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 753, 345, 334, 838
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(753, 345) = 86595
GCD(753, 345) = ( 753 x 345 ) / 86595
= 753 / 345
= 753
Step2:
LCM(3, 334) = 1002
GCD(3, 334) = ( 3 x 334 ) / 1002
= 3 / 334
= 3
Step3:
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
= 1 / 838
= 1
So, Greatest Common Divisor of 753, 345, 334, 838 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 753, 345, 334, 838
The greatest common divisor of numbers 753, 345, 334, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 345, 334, 838 is 1.
1. What is the GCD of 753, 345, 334, 838?
GCD of given numbers 753, 345, 334, 838 is 1
2. How to calculate the greatest common divisor of 753, 345, 334, 838?
We can find the highest common divisor of 753, 345, 334, 838 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 753, 345, 334, 838 i.e 1.
3. How can I use the GCD of 753, 345, 334, 838Calculator?
Out the numbers 753, 345, 334, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.