Online GCD Calculator is useful to find the GCD of 345, 690, 507, 446 quickly. Get the easiest ways to solve the greatest common divisor of 345, 690, 507, 446 i.e 1 in different methods as follows.
Given Input numbers are 345, 690, 507, 446
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 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
GCD of numbers is the greatest common divisor
So, the GCD (345, 690, 507, 446) = 1.
Given numbers are 345, 690, 507, 446
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 507 are 3 x 13 x 13
Prime factors of 446 are 2 x 223
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 690, 507, 446
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 690) = 690
GCD(345, 690) = ( 345 x 690 ) / 690
= 345 / 690
= 345
Step2:
LCM(345, 507) = 58305
GCD(345, 507) = ( 345 x 507 ) / 58305
= 345 / 507
= 345
Step3:
LCM(3, 446) = 1338
GCD(3, 446) = ( 3 x 446 ) / 1338
= 3 / 446
= 3
So, Greatest Common Divisor of 345, 690, 507, 446 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 690, 507, 446
The greatest common divisor of numbers 345, 690, 507, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 690, 507, 446 is 1.
1. What is the GCD of 345, 690, 507, 446?
GCD of given numbers 345, 690, 507, 446 is 1
2. How to calculate the greatest common divisor of 345, 690, 507, 446?
We can find the highest common divisor of 345, 690, 507, 446 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, 690, 507, 446 i.e 1.
3. How can I use the GCD of 345, 690, 507, 446Calculator?
Out the numbers 345, 690, 507, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.