Online GCD Calculator is useful to find the GCD of 501, 975, 664, 493 quickly. Get the easiest ways to solve the greatest common divisor of 501, 975, 664, 493 i.e 1 in different methods as follows.
Given Input numbers are 501, 975, 664, 493
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 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
GCD of numbers is the greatest common divisor
So, the GCD (501, 975, 664, 493) = 1.
Given numbers are 501, 975, 664, 493
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 493 are 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 501, 975, 664, 493
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 975) = 162825
GCD(501, 975) = ( 501 x 975 ) / 162825
= 501 / 975
= 501
Step2:
LCM(3, 664) = 1992
GCD(3, 664) = ( 3 x 664 ) / 1992
= 3 / 664
= 3
Step3:
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
= 1 / 493
= 1
So, Greatest Common Divisor of 501, 975, 664, 493 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 501, 975, 664, 493
The greatest common divisor of numbers 501, 975, 664, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 975, 664, 493 is 1.
1. What is the GCD of 501, 975, 664, 493?
GCD of given numbers 501, 975, 664, 493 is 1
2. How to calculate the greatest common divisor of 501, 975, 664, 493?
We can find the highest common divisor of 501, 975, 664, 493 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, 975, 664, 493 i.e 1.
3. How can I use the GCD of 501, 975, 664, 493Calculator?
Out the numbers 501, 975, 664, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.