Online GCD Calculator is useful to find the GCD of 708, 270, 364, 171 quickly. Get the easiest ways to solve the greatest common divisor of 708, 270, 364, 171 i.e 1 in different methods as follows.
Given Input numbers are 708, 270, 364, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
GCD of numbers is the greatest common divisor
So, the GCD (708, 270, 364, 171) = 1.
Given numbers are 708, 270, 364, 171
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 171 are 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 708, 270, 364, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 270) = 31860
GCD(708, 270) = ( 708 x 270 ) / 31860
= 708 / 270
= 708
Step2:
LCM(6, 364) = 1092
GCD(6, 364) = ( 6 x 364 ) / 1092
= 6 / 364
= 6
Step3:
LCM(2, 171) = 342
GCD(2, 171) = ( 2 x 171 ) / 342
= 2 / 171
= 2
So, Greatest Common Divisor of 708, 270, 364, 171 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 270, 364, 171
The greatest common divisor of numbers 708, 270, 364, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 270, 364, 171 is 1.
1. What is the GCD of 708, 270, 364, 171?
GCD of given numbers 708, 270, 364, 171 is 1
2. How to calculate the greatest common divisor of 708, 270, 364, 171?
We can find the highest common divisor of 708, 270, 364, 171 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 708, 270, 364, 171 i.e 1.
3. How can I use the GCD of 708, 270, 364, 171Calculator?
Out the numbers 708, 270, 364, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.