Online GCD Calculator is useful to find the GCD of 690, 909, 987, 566 quickly. Get the easiest ways to solve the greatest common divisor of 690, 909, 987, 566 i.e 1 in different methods as follows.
Given Input numbers are 690, 909, 987, 566
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 566 :
The positive integer divisors of 566 that completely divides 566 are.
1, 2, 283, 566
GCD of numbers is the greatest common divisor
So, the GCD (690, 909, 987, 566) = 1.
Given numbers are 690, 909, 987, 566
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 909 are 3 x 3 x 101
Prime factors of 987 are 3 x 7 x 47
Prime factors of 566 are 2 x 283
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 690, 909, 987, 566
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 909) = 209070
GCD(690, 909) = ( 690 x 909 ) / 209070
= 690 / 909
= 690
Step2:
LCM(3, 987) = 987
GCD(3, 987) = ( 3 x 987 ) / 987
= 3 / 987
= 3
Step3:
LCM(3, 566) = 1698
GCD(3, 566) = ( 3 x 566 ) / 1698
= 3 / 566
= 3
So, Greatest Common Divisor of 690, 909, 987, 566 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 909, 987, 566
The greatest common divisor of numbers 690, 909, 987, 566 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 909, 987, 566 is 1.
1. What is the GCD of 690, 909, 987, 566?
GCD of given numbers 690, 909, 987, 566 is 1
2. How to calculate the greatest common divisor of 690, 909, 987, 566?
We can find the highest common divisor of 690, 909, 987, 566 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 690, 909, 987, 566 i.e 1.
3. How can I use the GCD of 690, 909, 987, 566Calculator?
Out the numbers 690, 909, 987, 566 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.