Online GCD Calculator is useful to find the GCD of 305, 733, 343, 142 quickly. Get the easiest ways to solve the greatest common divisor of 305, 733, 343, 142 i.e 1 in different methods as follows.
Given Input numbers are 305, 733, 343, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
Divisors of 733 :
The positive integer divisors of 733 that completely divides 733 are.
1, 733
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (305, 733, 343, 142) = 1.
Given numbers are 305, 733, 343, 142
The list of prime factors of all numbers are
Prime factors of 305 are 5 x 61
Prime factors of 733 are 733
Prime factors of 343 are 7 x 7 x 7
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 305, 733, 343, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(305, 733) = 223565
GCD(305, 733) = ( 305 x 733 ) / 223565
= 305 / 733
= 305
Step2:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 305, 733, 343, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 305, 733, 343, 142
The greatest common divisor of numbers 305, 733, 343, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 733, 343, 142 is 1.
1. What is the GCD of 305, 733, 343, 142?
GCD of given numbers 305, 733, 343, 142 is 1
2. How to calculate the greatest common divisor of 305, 733, 343, 142?
We can find the highest common divisor of 305, 733, 343, 142 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 305, 733, 343, 142 i.e 1.
3. How can I use the GCD of 305, 733, 343, 142Calculator?
Out the numbers 305, 733, 343, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.