Online GCD Calculator is useful to find the GCD of 654, 543, 697, 918 quickly. Get the easiest ways to solve the greatest common divisor of 654, 543, 697, 918 i.e 1 in different methods as follows.
Given Input numbers are 654, 543, 697, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (654, 543, 697, 918) = 1.
Given numbers are 654, 543, 697, 918
The list of prime factors of all numbers are
Prime factors of 654 are 2 x 3 x 109
Prime factors of 543 are 3 x 181
Prime factors of 697 are 17 x 41
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 654, 543, 697, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(654, 543) = 118374
GCD(654, 543) = ( 654 x 543 ) / 118374
= 654 / 543
= 654
Step2:
LCM(3, 697) = 2091
GCD(3, 697) = ( 3 x 697 ) / 2091
= 3 / 697
= 3
Step3:
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
= 1 / 918
= 1
So, Greatest Common Divisor of 654, 543, 697, 918 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 654, 543, 697, 918
The greatest common divisor of numbers 654, 543, 697, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 543, 697, 918 is 1.
1. What is the GCD of 654, 543, 697, 918?
GCD of given numbers 654, 543, 697, 918 is 1
2. How to calculate the greatest common divisor of 654, 543, 697, 918?
We can find the highest common divisor of 654, 543, 697, 918 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 654, 543, 697, 918 i.e 1.
3. How can I use the GCD of 654, 543, 697, 918Calculator?
Out the numbers 654, 543, 697, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.