Online GCD Calculator is useful to find the GCD of 367, 429, 208, 289 quickly. Get the easiest ways to solve the greatest common divisor of 367, 429, 208, 289 i.e 1 in different methods as follows.
Given Input numbers are 367, 429, 208, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (367, 429, 208, 289) = 1.
Given numbers are 367, 429, 208, 289
The list of prime factors of all numbers are
Prime factors of 367 are 367
Prime factors of 429 are 3 x 11 x 13
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 367, 429, 208, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(367, 429) = 157443
GCD(367, 429) = ( 367 x 429 ) / 157443
= 367 / 429
= 367
Step2:
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
= 1 / 208
= 1
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 367, 429, 208, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 367, 429, 208, 289
The greatest common divisor of numbers 367, 429, 208, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 367, 429, 208, 289 is 1.
1. What is the GCD of 367, 429, 208, 289?
GCD of given numbers 367, 429, 208, 289 is 1
2. How to calculate the greatest common divisor of 367, 429, 208, 289?
We can find the highest common divisor of 367, 429, 208, 289 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 367, 429, 208, 289 i.e 1.
3. How can I use the GCD of 367, 429, 208, 289Calculator?
Out the numbers 367, 429, 208, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.