Online GCD Calculator is useful to find the GCD of 564, 908, 412, 497 quickly. Get the easiest ways to solve the greatest common divisor of 564, 908, 412, 497 i.e 1 in different methods as follows.
Given Input numbers are 564, 908, 412, 497
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
GCD of numbers is the greatest common divisor
So, the GCD (564, 908, 412, 497) = 1.
Given numbers are 564, 908, 412, 497
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 908 are 2 x 2 x 227
Prime factors of 412 are 2 x 2 x 103
Prime factors of 497 are 7 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 564, 908, 412, 497
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 908) = 128028
GCD(564, 908) = ( 564 x 908 ) / 128028
= 564 / 908
= 564
Step2:
LCM(4, 412) = 412
GCD(4, 412) = ( 4 x 412 ) / 412
= 4 / 412
= 4
Step3:
LCM(4, 497) = 1988
GCD(4, 497) = ( 4 x 497 ) / 1988
= 4 / 497
= 4
So, Greatest Common Divisor of 564, 908, 412, 497 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 908, 412, 497
The greatest common divisor of numbers 564, 908, 412, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 908, 412, 497 is 1.
1. What is the GCD of 564, 908, 412, 497?
GCD of given numbers 564, 908, 412, 497 is 1
2. How to calculate the greatest common divisor of 564, 908, 412, 497?
We can find the highest common divisor of 564, 908, 412, 497 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 564, 908, 412, 497 i.e 1.
3. How can I use the GCD of 564, 908, 412, 497Calculator?
Out the numbers 564, 908, 412, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.