Online GCD Calculator is useful to find the GCD of 130, 600, 852, 366 quickly. Get the easiest ways to solve the greatest common divisor of 130, 600, 852, 366 i.e 2 in different methods as follows.
Given Input numbers are 130, 600, 852, 366
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
GCD of numbers is the greatest common divisor
So, the GCD (130, 600, 852, 366) = 2.
Given numbers are 130, 600, 852, 366
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 366 are 2 x 3 x 61
The highest common occurrence is 21
Therefore, GCD of 130, 600, 852, 366 is 2.
Given numbers are 130, 600, 852, 366
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 600) = 7800
GCD(130, 600) = ( 130 x 600 ) / 7800
= 130 / 600
= 130
Step2:
LCM(10, 852) = 4260
GCD(10, 852) = ( 10 x 852 ) / 4260
= 10 / 852
= 10
Step3:
LCM(2, 366) = 366
GCD(2, 366) = ( 2 x 366 ) / 366
= 2 / 366
= 2
So, Greatest Common Divisor of 130, 600, 852, 366 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 600, 852, 366
The greatest common divisor of numbers 130, 600, 852, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 600, 852, 366 is 2.
1. What is the GCD of 130, 600, 852, 366?
GCD of given numbers 130, 600, 852, 366 is 2
2. How to calculate the greatest common divisor of 130, 600, 852, 366?
We can find the highest common divisor of 130, 600, 852, 366 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 130, 600, 852, 366 i.e 2.
3. How can I use the GCD of 130, 600, 852, 366Calculator?
Out the numbers 130, 600, 852, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.