Online GCD Calculator is useful to find the GCD of 486, 171, 142, 986 quickly. Get the easiest ways to solve the greatest common divisor of 486, 171, 142, 986 i.e 1 in different methods as follows.
Given Input numbers are 486, 171, 142, 986
In the factoring method, we have to find the divisors of all numbers
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (486, 171, 142, 986) = 1.
Given numbers are 486, 171, 142, 986
The list of prime factors of all numbers are
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 171 are 3 x 3 x 19
Prime factors of 142 are 2 x 71
Prime factors of 986 are 2 x 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 486, 171, 142, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(486, 171) = 9234
GCD(486, 171) = ( 486 x 171 ) / 9234
= 486 / 171
= 486
Step2:
LCM(9, 142) = 1278
GCD(9, 142) = ( 9 x 142 ) / 1278
= 9 / 142
= 9
Step3:
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
= 1 / 986
= 1
So, Greatest Common Divisor of 486, 171, 142, 986 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 486, 171, 142, 986
The greatest common divisor of numbers 486, 171, 142, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 171, 142, 986 is 1.
1. What is the GCD of 486, 171, 142, 986?
GCD of given numbers 486, 171, 142, 986 is 1
2. How to calculate the greatest common divisor of 486, 171, 142, 986?
We can find the highest common divisor of 486, 171, 142, 986 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 486, 171, 142, 986 i.e 1.
3. How can I use the GCD of 486, 171, 142, 986Calculator?
Out the numbers 486, 171, 142, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.