Online GCD Calculator is useful to find the GCD of 500, 170, 492, 125 quickly. Get the easiest ways to solve the greatest common divisor of 500, 170, 492, 125 i.e 1 in different methods as follows.
Given Input numbers are 500, 170, 492, 125
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
GCD of numbers is the greatest common divisor
So, the GCD (500, 170, 492, 125) = 1.
Given numbers are 500, 170, 492, 125
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 170 are 2 x 5 x 17
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 125 are 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 170, 492, 125
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 170) = 8500
GCD(500, 170) = ( 500 x 170 ) / 8500
= 500 / 170
= 500
Step2:
LCM(10, 492) = 2460
GCD(10, 492) = ( 10 x 492 ) / 2460
= 10 / 492
= 10
Step3:
LCM(2, 125) = 250
GCD(2, 125) = ( 2 x 125 ) / 250
= 2 / 125
= 2
So, Greatest Common Divisor of 500, 170, 492, 125 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 170, 492, 125
The greatest common divisor of numbers 500, 170, 492, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 170, 492, 125 is 1.
1. What is the GCD of 500, 170, 492, 125?
GCD of given numbers 500, 170, 492, 125 is 1
2. How to calculate the greatest common divisor of 500, 170, 492, 125?
We can find the highest common divisor of 500, 170, 492, 125 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 500, 170, 492, 125 i.e 1.
3. How can I use the GCD of 500, 170, 492, 125Calculator?
Out the numbers 500, 170, 492, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.