Online GCD Calculator is useful to find the GCD of 345, 343, 160, 290 quickly. Get the easiest ways to solve the greatest common divisor of 345, 343, 160, 290 i.e 1 in different methods as follows.
Given Input numbers are 345, 343, 160, 290
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
GCD of numbers is the greatest common divisor
So, the GCD (345, 343, 160, 290) = 1.
Given numbers are 345, 343, 160, 290
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 343 are 7 x 7 x 7
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 290 are 2 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 343, 160, 290
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 343) = 118335
GCD(345, 343) = ( 345 x 343 ) / 118335
= 345 / 343
= 345
Step2:
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
= 1 / 160
= 1
Step3:
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
= 1 / 290
= 1
So, Greatest Common Divisor of 345, 343, 160, 290 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 343, 160, 290
The greatest common divisor of numbers 345, 343, 160, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 343, 160, 290 is 1.
1. What is the GCD of 345, 343, 160, 290?
GCD of given numbers 345, 343, 160, 290 is 1
2. How to calculate the greatest common divisor of 345, 343, 160, 290?
We can find the highest common divisor of 345, 343, 160, 290 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 345, 343, 160, 290 i.e 1.
3. How can I use the GCD of 345, 343, 160, 290Calculator?
Out the numbers 345, 343, 160, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.