Online GCD Calculator is useful to find the GCD of 336, 288, 73, 142 quickly. Get the easiest ways to solve the greatest common divisor of 336, 288, 73, 142 i.e 1 in different methods as follows.
Given Input numbers are 336, 288, 73, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 73 :
The positive integer divisors of 73 that completely divides 73 are.
1, 73
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 (336, 288, 73, 142) = 1.
Given numbers are 336, 288, 73, 142
The list of prime factors of all numbers are
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 73 are 73
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 336, 288, 73, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(336, 288) = 2016
GCD(336, 288) = ( 336 x 288 ) / 2016
= 336 / 288
= 336
Step2:
LCM(48, 73) = 3504
GCD(48, 73) = ( 48 x 73 ) / 3504
= 48 / 73
= 48
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 336, 288, 73, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 336, 288, 73, 142
The greatest common divisor of numbers 336, 288, 73, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 288, 73, 142 is 1.
1. What is the GCD of 336, 288, 73, 142?
GCD of given numbers 336, 288, 73, 142 is 1
2. How to calculate the greatest common divisor of 336, 288, 73, 142?
We can find the highest common divisor of 336, 288, 73, 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 336, 288, 73, 142 i.e 1.
3. How can I use the GCD of 336, 288, 73, 142Calculator?
Out the numbers 336, 288, 73, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.