Online GCD Calculator is useful to find the GCD of 576, 948, 820 quickly. Get the easiest ways to solve the greatest common divisor of 576, 948, 820 i.e 4 in different methods as follows.
Given Input numbers are 576, 948, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
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 (576, 948, 820) = 4.
Given numbers are 576, 948, 820
The list of prime factors of all numbers are
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 22
Therefore, GCD of 576, 948, 820 is 4.
Given numbers are 576, 948, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(576, 948) = 45504
GCD(576, 948) = ( 576 x 948 ) / 45504
= 576 / 948
= 576
Step2:
LCM(12, 820) = 2460
GCD(12, 820) = ( 12 x 820 ) / 2460
= 12 / 820
= 12
So, Greatest Common Divisor of 576, 948, 820 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 576, 948, 820
The greatest common divisor of numbers 576, 948, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 948, 820 is 4.
1. What is the GCD of 576, 948, 820?
GCD of given numbers 576, 948, 820 is 4
2. How to calculate the greatest common divisor of 576, 948, 820?
We can find the highest common divisor of 576, 948, 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 576, 948, 820 i.e 4.
3. How can I use the GCD of 576, 948, 820Calculator?
Out the numbers 576, 948, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.