Online GCD Calculator is useful to find the GCD of 102, 421, 164, 675 quickly. Get the easiest ways to solve the greatest common divisor of 102, 421, 164, 675 i.e 1 in different methods as follows.
Given Input numbers are 102, 421, 164, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
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
GCD of numbers is the greatest common divisor
So, the GCD (102, 421, 164, 675) = 1.
Given numbers are 102, 421, 164, 675
The list of prime factors of all numbers are
Prime factors of 102 are 2 x 3 x 17
Prime factors of 421 are 421
Prime factors of 164 are 2 x 2 x 41
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 102, 421, 164, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(102, 421) = 42942
GCD(102, 421) = ( 102 x 421 ) / 42942
= 102 / 421
= 102
Step2:
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
= 1 / 164
= 1
Step3:
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
= 1 / 675
= 1
So, Greatest Common Divisor of 102, 421, 164, 675 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 102, 421, 164, 675
The greatest common divisor of numbers 102, 421, 164, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 421, 164, 675 is 1.
1. What is the GCD of 102, 421, 164, 675?
GCD of given numbers 102, 421, 164, 675 is 1
2. How to calculate the greatest common divisor of 102, 421, 164, 675?
We can find the highest common divisor of 102, 421, 164, 675 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 102, 421, 164, 675 i.e 1.
3. How can I use the GCD of 102, 421, 164, 675Calculator?
Out the numbers 102, 421, 164, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.