Online GCD Calculator is useful to find the GCD of 501, 675, 345, 514 quickly. Get the easiest ways to solve the greatest common divisor of 501, 675, 345, 514 i.e 1 in different methods as follows.
Given Input numbers are 501, 675, 345, 514
In the factoring method, we have to find the divisors of all numbers
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
GCD of numbers is the greatest common divisor
So, the GCD (501, 675, 345, 514) = 1.
Given numbers are 501, 675, 345, 514
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 345 are 3 x 5 x 23
Prime factors of 514 are 2 x 257
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 501, 675, 345, 514
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 675) = 112725
GCD(501, 675) = ( 501 x 675 ) / 112725
= 501 / 675
= 501
Step2:
LCM(3, 345) = 345
GCD(3, 345) = ( 3 x 345 ) / 345
= 3 / 345
= 3
Step3:
LCM(3, 514) = 1542
GCD(3, 514) = ( 3 x 514 ) / 1542
= 3 / 514
= 3
So, Greatest Common Divisor of 501, 675, 345, 514 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 501, 675, 345, 514
The greatest common divisor of numbers 501, 675, 345, 514 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 675, 345, 514 is 1.
1. What is the GCD of 501, 675, 345, 514?
GCD of given numbers 501, 675, 345, 514 is 1
2. How to calculate the greatest common divisor of 501, 675, 345, 514?
We can find the highest common divisor of 501, 675, 345, 514 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 501, 675, 345, 514 i.e 1.
3. How can I use the GCD of 501, 675, 345, 514Calculator?
Out the numbers 501, 675, 345, 514 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.