Online GCD Calculator is useful to find the GCD of 925, 520, 500, 170 quickly. Get the easiest ways to solve the greatest common divisor of 925, 520, 500, 170 i.e 5 in different methods as follows.
Given Input numbers are 925, 520, 500, 170
In the factoring method, we have to find the divisors of all numbers
Divisors of 925 :
The positive integer divisors of 925 that completely divides 925 are.
1, 5, 25, 37, 185, 925
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
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
GCD of numbers is the greatest common divisor
So, the GCD (925, 520, 500, 170) = 5.
Given numbers are 925, 520, 500, 170
The list of prime factors of all numbers are
Prime factors of 925 are 5 x 5 x 37
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 170 are 2 x 5 x 17
The highest common occurrence is 51
Therefore, GCD of 925, 520, 500, 170 is 5.
Given numbers are 925, 520, 500, 170
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(925, 520) = 96200
GCD(925, 520) = ( 925 x 520 ) / 96200
= 925 / 520
= 925
Step2:
LCM(5, 500) = 500
GCD(5, 500) = ( 5 x 500 ) / 500
= 5 / 500
= 5
Step3:
LCM(5, 170) = 170
GCD(5, 170) = ( 5 x 170 ) / 170
= 5 / 170
= 5
So, Greatest Common Divisor of 925, 520, 500, 170 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 925, 520, 500, 170
The greatest common divisor of numbers 925, 520, 500, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 925, 520, 500, 170 is 5.
1. What is the GCD of 925, 520, 500, 170?
GCD of given numbers 925, 520, 500, 170 is 5
2. How to calculate the greatest common divisor of 925, 520, 500, 170?
We can find the highest common divisor of 925, 520, 500, 170 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 925, 520, 500, 170 i.e 5.
3. How can I use the GCD of 925, 520, 500, 170Calculator?
Out the numbers 925, 520, 500, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.