Online GCD Calculator is useful to find the GCD of 530, 365, 165, 100 quickly. Get the easiest ways to solve the greatest common divisor of 530, 365, 165, 100 i.e 5 in different methods as follows.
Given Input numbers are 530, 365, 165, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (530, 365, 165, 100) = 5.
Given numbers are 530, 365, 165, 100
The list of prime factors of all numbers are
Prime factors of 530 are 2 x 5 x 53
Prime factors of 365 are 5 x 73
Prime factors of 165 are 3 x 5 x 11
Prime factors of 100 are 2 x 2 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 530, 365, 165, 100 is 5.
Given numbers are 530, 365, 165, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(530, 365) = 38690
GCD(530, 365) = ( 530 x 365 ) / 38690
= 530 / 365
= 530
Step2:
LCM(5, 165) = 165
GCD(5, 165) = ( 5 x 165 ) / 165
= 5 / 165
= 5
Step3:
LCM(5, 100) = 100
GCD(5, 100) = ( 5 x 100 ) / 100
= 5 / 100
= 5
So, Greatest Common Divisor of 530, 365, 165, 100 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 530, 365, 165, 100
The greatest common divisor of numbers 530, 365, 165, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 365, 165, 100 is 5.
1. What is the GCD of 530, 365, 165, 100?
GCD of given numbers 530, 365, 165, 100 is 5
2. How to calculate the greatest common divisor of 530, 365, 165, 100?
We can find the highest common divisor of 530, 365, 165, 100 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 530, 365, 165, 100 i.e 5.
3. How can I use the GCD of 530, 365, 165, 100Calculator?
Out the numbers 530, 365, 165, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.