Online GCD Calculator is useful to find the GCD of 502, 238, 462, 657 quickly. Get the easiest ways to solve the greatest common divisor of 502, 238, 462, 657 i.e 1 in different methods as follows.
Given Input numbers are 502, 238, 462, 657
In the factoring method, we have to find the divisors of all numbers
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
GCD of numbers is the greatest common divisor
So, the GCD (502, 238, 462, 657) = 1.
Given numbers are 502, 238, 462, 657
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 238 are 2 x 7 x 17
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 657 are 3 x 3 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 502, 238, 462, 657
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 238) = 59738
GCD(502, 238) = ( 502 x 238 ) / 59738
= 502 / 238
= 502
Step2:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
Step3:
LCM(2, 657) = 1314
GCD(2, 657) = ( 2 x 657 ) / 1314
= 2 / 657
= 2
So, Greatest Common Divisor of 502, 238, 462, 657 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 502, 238, 462, 657
The greatest common divisor of numbers 502, 238, 462, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 238, 462, 657 is 1.
1. What is the GCD of 502, 238, 462, 657?
GCD of given numbers 502, 238, 462, 657 is 1
2. How to calculate the greatest common divisor of 502, 238, 462, 657?
We can find the highest common divisor of 502, 238, 462, 657 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 502, 238, 462, 657 i.e 1.
3. How can I use the GCD of 502, 238, 462, 657Calculator?
Out the numbers 502, 238, 462, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.