Online GCD Calculator is useful to find the GCD of 654, 675, 174, 682 quickly. Get the easiest ways to solve the greatest common divisor of 654, 675, 174, 682 i.e 1 in different methods as follows.
Given Input numbers are 654, 675, 174, 682
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 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (654, 675, 174, 682) = 1.
Given numbers are 654, 675, 174, 682
The list of prime factors of all numbers are
Prime factors of 654 are 2 x 3 x 109
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 174 are 2 x 3 x 29
Prime factors of 682 are 2 x 11 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 654, 675, 174, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(654, 675) = 147150
GCD(654, 675) = ( 654 x 675 ) / 147150
= 654 / 675
= 654
Step2:
LCM(3, 174) = 174
GCD(3, 174) = ( 3 x 174 ) / 174
= 3 / 174
= 3
Step3:
LCM(3, 682) = 2046
GCD(3, 682) = ( 3 x 682 ) / 2046
= 3 / 682
= 3
So, Greatest Common Divisor of 654, 675, 174, 682 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 654, 675, 174, 682
The greatest common divisor of numbers 654, 675, 174, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 675, 174, 682 is 1.
1. What is the GCD of 654, 675, 174, 682?
GCD of given numbers 654, 675, 174, 682 is 1
2. How to calculate the greatest common divisor of 654, 675, 174, 682?
We can find the highest common divisor of 654, 675, 174, 682 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, 675, 174, 682 i.e 1.
3. How can I use the GCD of 654, 675, 174, 682Calculator?
Out the numbers 654, 675, 174, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.