Online GCD Calculator is useful to find the GCD of 927, 978, 501, 171 quickly. Get the easiest ways to solve the greatest common divisor of 927, 978, 501, 171 i.e 3 in different methods as follows.
Given Input numbers are 927, 978, 501, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
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 (927, 978, 501, 171) = 3.
Given numbers are 927, 978, 501, 171
The list of prime factors of all numbers are
Prime factors of 927 are 3 x 3 x 103
Prime factors of 978 are 2 x 3 x 163
Prime factors of 501 are 3 x 167
Prime factors of 171 are 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 927, 978, 501, 171 is 3.
Given numbers are 927, 978, 501, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(927, 978) = 302202
GCD(927, 978) = ( 927 x 978 ) / 302202
= 927 / 978
= 927
Step2:
LCM(3, 501) = 501
GCD(3, 501) = ( 3 x 501 ) / 501
= 3 / 501
= 3
Step3:
LCM(3, 171) = 171
GCD(3, 171) = ( 3 x 171 ) / 171
= 3 / 171
= 3
So, Greatest Common Divisor of 927, 978, 501, 171 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 927, 978, 501, 171
The greatest common divisor of numbers 927, 978, 501, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 927, 978, 501, 171 is 3.
1. What is the GCD of 927, 978, 501, 171?
GCD of given numbers 927, 978, 501, 171 is 3
2. How to calculate the greatest common divisor of 927, 978, 501, 171?
We can find the highest common divisor of 927, 978, 501, 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 927, 978, 501, 171 i.e 3.
3. How can I use the GCD of 927, 978, 501, 171Calculator?
Out the numbers 927, 978, 501, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.