Online GCD Calculator is useful to find the GCD of 345, 207, 338, 265 quickly. Get the easiest ways to solve the greatest common divisor of 345, 207, 338, 265 i.e 1 in different methods as follows.
Given Input numbers are 345, 207, 338, 265
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 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 265 :
The positive integer divisors of 265 that completely divides 265 are.
1, 5, 53, 265
GCD of numbers is the greatest common divisor
So, the GCD (345, 207, 338, 265) = 1.
Given numbers are 345, 207, 338, 265
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 207 are 3 x 3 x 23
Prime factors of 338 are 2 x 13 x 13
Prime factors of 265 are 5 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 207, 338, 265
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 207) = 1035
GCD(345, 207) = ( 345 x 207 ) / 1035
= 345 / 207
= 345
Step2:
LCM(69, 338) = 23322
GCD(69, 338) = ( 69 x 338 ) / 23322
= 69 / 338
= 69
Step3:
LCM(1, 265) = 265
GCD(1, 265) = ( 1 x 265 ) / 265
= 1 / 265
= 1
So, Greatest Common Divisor of 345, 207, 338, 265 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 207, 338, 265
The greatest common divisor of numbers 345, 207, 338, 265 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 207, 338, 265 is 1.
1. What is the GCD of 345, 207, 338, 265?
GCD of given numbers 345, 207, 338, 265 is 1
2. How to calculate the greatest common divisor of 345, 207, 338, 265?
We can find the highest common divisor of 345, 207, 338, 265 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, 207, 338, 265 i.e 1.
3. How can I use the GCD of 345, 207, 338, 265Calculator?
Out the numbers 345, 207, 338, 265 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.