Online GCD Calculator is useful to find the GCD of 402, 574, 189, 918 quickly. Get the easiest ways to solve the greatest common divisor of 402, 574, 189, 918 i.e 1 in different methods as follows.
Given Input numbers are 402, 574, 189, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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 (402, 574, 189, 918) = 1.
Given numbers are 402, 574, 189, 918
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 574 are 2 x 7 x 41
Prime factors of 189 are 3 x 3 x 3 x 7
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 402, 574, 189, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 574) = 115374
GCD(402, 574) = ( 402 x 574 ) / 115374
= 402 / 574
= 402
Step2:
LCM(2, 189) = 378
GCD(2, 189) = ( 2 x 189 ) / 378
= 2 / 189
= 2
Step3:
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
= 1 / 918
= 1
So, Greatest Common Divisor of 402, 574, 189, 918 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 574, 189, 918
The greatest common divisor of numbers 402, 574, 189, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 574, 189, 918 is 1.
1. What is the GCD of 402, 574, 189, 918?
GCD of given numbers 402, 574, 189, 918 is 1
2. How to calculate the greatest common divisor of 402, 574, 189, 918?
We can find the highest common divisor of 402, 574, 189, 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 402, 574, 189, 918 i.e 1.
3. How can I use the GCD of 402, 574, 189, 918Calculator?
Out the numbers 402, 574, 189, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.