Online GCD Calculator is useful to find the GCD of 180, 530, 232, 762 quickly. Get the easiest ways to solve the greatest common divisor of 180, 530, 232, 762 i.e 2 in different methods as follows.
Given Input numbers are 180, 530, 232, 762
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
GCD of numbers is the greatest common divisor
So, the GCD (180, 530, 232, 762) = 2.
Given numbers are 180, 530, 232, 762
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 530 are 2 x 5 x 53
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 762 are 2 x 3 x 127
The highest common occurrence is 21
Therefore, GCD of 180, 530, 232, 762 is 2.
Given numbers are 180, 530, 232, 762
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 530) = 9540
GCD(180, 530) = ( 180 x 530 ) / 9540
= 180 / 530
= 180
Step2:
LCM(10, 232) = 1160
GCD(10, 232) = ( 10 x 232 ) / 1160
= 10 / 232
= 10
Step3:
LCM(2, 762) = 762
GCD(2, 762) = ( 2 x 762 ) / 762
= 2 / 762
= 2
So, Greatest Common Divisor of 180, 530, 232, 762 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 530, 232, 762
The greatest common divisor of numbers 180, 530, 232, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 530, 232, 762 is 2.
1. What is the GCD of 180, 530, 232, 762?
GCD of given numbers 180, 530, 232, 762 is 2
2. How to calculate the greatest common divisor of 180, 530, 232, 762?
We can find the highest common divisor of 180, 530, 232, 762 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 180, 530, 232, 762 i.e 2.
3. How can I use the GCD of 180, 530, 232, 762Calculator?
Out the numbers 180, 530, 232, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.