Online GCD Calculator is useful to find the GCD of 524, 360, 820 quickly. Get the easiest ways to solve the greatest common divisor of 524, 360, 820 i.e 4 in different methods as follows.
Given Input numbers are 524, 360, 820
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 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (524, 360, 820) = 4.
Given numbers are 524, 360, 820
The list of prime factors of all numbers are
Prime factors of 524 are 2 x 2 x 131
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 22
Therefore, GCD of 524, 360, 820 is 4.
Given numbers are 524, 360, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(524, 360) = 47160
GCD(524, 360) = ( 524 x 360 ) / 47160
= 524 / 360
= 524
Step2:
LCM(4, 820) = 820
GCD(4, 820) = ( 4 x 820 ) / 820
= 4 / 820
= 4
So, Greatest Common Divisor of 524, 360, 820 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 524, 360, 820
The greatest common divisor of numbers 524, 360, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 360, 820 is 4.
1. What is the GCD of 524, 360, 820?
GCD of given numbers 524, 360, 820 is 4
2. How to calculate the greatest common divisor of 524, 360, 820?
We can find the highest common divisor of 524, 360, 820 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, 360, 820 i.e 4.
3. How can I use the GCD of 524, 360, 820Calculator?
Out the numbers 524, 360, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.