Online GCD Calculator is useful to find the GCD of 564, 412, 897, 987 quickly. Get the easiest ways to solve the greatest common divisor of 564, 412, 897, 987 i.e 1 in different methods as follows.
Given Input numbers are 564, 412, 897, 987
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 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (564, 412, 897, 987) = 1.
Given numbers are 564, 412, 897, 987
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 412 are 2 x 2 x 103
Prime factors of 897 are 3 x 13 x 23
Prime factors of 987 are 3 x 7 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 564, 412, 897, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 412) = 58092
GCD(564, 412) = ( 564 x 412 ) / 58092
= 564 / 412
= 564
Step2:
LCM(4, 897) = 3588
GCD(4, 897) = ( 4 x 897 ) / 3588
= 4 / 897
= 4
Step3:
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
= 1 / 987
= 1
So, Greatest Common Divisor of 564, 412, 897, 987 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 412, 897, 987
The greatest common divisor of numbers 564, 412, 897, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 412, 897, 987 is 1.
1. What is the GCD of 564, 412, 897, 987?
GCD of given numbers 564, 412, 897, 987 is 1
2. How to calculate the greatest common divisor of 564, 412, 897, 987?
We can find the highest common divisor of 564, 412, 897, 987 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, 412, 897, 987 i.e 1.
3. How can I use the GCD of 564, 412, 897, 987Calculator?
Out the numbers 564, 412, 897, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.