Online GCD Calculator is useful to find the GCD of 493, 981, 987, 172 quickly. Get the easiest ways to solve the greatest common divisor of 493, 981, 987, 172 i.e 1 in different methods as follows.
Given Input numbers are 493, 981, 987, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (493, 981, 987, 172) = 1.
Given numbers are 493, 981, 987, 172
The list of prime factors of all numbers are
Prime factors of 493 are 17 x 29
Prime factors of 981 are 3 x 3 x 109
Prime factors of 987 are 3 x 7 x 47
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 493, 981, 987, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(493, 981) = 483633
GCD(493, 981) = ( 493 x 981 ) / 483633
= 493 / 981
= 493
Step2:
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
= 1 / 987
= 1
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 493, 981, 987, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 493, 981, 987, 172
The greatest common divisor of numbers 493, 981, 987, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 981, 987, 172 is 1.
1. What is the GCD of 493, 981, 987, 172?
GCD of given numbers 493, 981, 987, 172 is 1
2. How to calculate the greatest common divisor of 493, 981, 987, 172?
We can find the highest common divisor of 493, 981, 987, 172 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 493, 981, 987, 172 i.e 1.
3. How can I use the GCD of 493, 981, 987, 172Calculator?
Out the numbers 493, 981, 987, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.