Online GCD Calculator is useful to find the GCD of 345, 377, 644, 141 quickly. Get the easiest ways to solve the greatest common divisor of 345, 377, 644, 141 i.e 1 in different methods as follows.
Given Input numbers are 345, 377, 644, 141
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 377 :
The positive integer divisors of 377 that completely divides 377 are.
1, 13, 29, 377
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
GCD of numbers is the greatest common divisor
So, the GCD (345, 377, 644, 141) = 1.
Given numbers are 345, 377, 644, 141
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 377 are 13 x 29
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 141 are 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 377, 644, 141
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 377) = 130065
GCD(345, 377) = ( 345 x 377 ) / 130065
= 345 / 377
= 345
Step2:
LCM(1, 644) = 644
GCD(1, 644) = ( 1 x 644 ) / 644
= 1 / 644
= 1
Step3:
LCM(1, 141) = 141
GCD(1, 141) = ( 1 x 141 ) / 141
= 1 / 141
= 1
So, Greatest Common Divisor of 345, 377, 644, 141 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 377, 644, 141
The greatest common divisor of numbers 345, 377, 644, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 377, 644, 141 is 1.
1. What is the GCD of 345, 377, 644, 141?
GCD of given numbers 345, 377, 644, 141 is 1
2. How to calculate the greatest common divisor of 345, 377, 644, 141?
We can find the highest common divisor of 345, 377, 644, 141 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, 377, 644, 141 i.e 1.
3. How can I use the GCD of 345, 377, 644, 141Calculator?
Out the numbers 345, 377, 644, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.