Online GCD Calculator is useful to find the GCD of 524, 668, 180 quickly. Get the easiest ways to solve the greatest common divisor of 524, 668, 180 i.e 4 in different methods as follows.
Given Input numbers are 524, 668, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
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
GCD of numbers is the greatest common divisor
So, the GCD (524, 668, 180) = 4.
Given numbers are 524, 668, 180
The list of prime factors of all numbers are
Prime factors of 524 are 2 x 2 x 131
Prime factors of 668 are 2 x 2 x 167
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 524, 668, 180 is 4.
Given numbers are 524, 668, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(524, 668) = 87508
GCD(524, 668) = ( 524 x 668 ) / 87508
= 524 / 668
= 524
Step2:
LCM(4, 180) = 180
GCD(4, 180) = ( 4 x 180 ) / 180
= 4 / 180
= 4
So, Greatest Common Divisor of 524, 668, 180 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 524, 668, 180
The greatest common divisor of numbers 524, 668, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 668, 180 is 4.
1. What is the GCD of 524, 668, 180?
GCD of given numbers 524, 668, 180 is 4
2. How to calculate the greatest common divisor of 524, 668, 180?
We can find the highest common divisor of 524, 668, 180 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 524, 668, 180 i.e 4.
3. How can I use the GCD of 524, 668, 180Calculator?
Out the numbers 524, 668, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.