Online GCD Calculator is useful to find the GCD of 852, 210, 771, 576 quickly. Get the easiest ways to solve the greatest common divisor of 852, 210, 771, 576 i.e 3 in different methods as follows.
Given Input numbers are 852, 210, 771, 576
In the factoring method, we have to find the divisors of all numbers
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 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
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
GCD of numbers is the greatest common divisor
So, the GCD (852, 210, 771, 576) = 3.
Given numbers are 852, 210, 771, 576
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 771 are 3 x 257
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 852, 210, 771, 576 is 3.
Given numbers are 852, 210, 771, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 210) = 29820
GCD(852, 210) = ( 852 x 210 ) / 29820
= 852 / 210
= 852
Step2:
LCM(6, 771) = 1542
GCD(6, 771) = ( 6 x 771 ) / 1542
= 6 / 771
= 6
Step3:
LCM(3, 576) = 576
GCD(3, 576) = ( 3 x 576 ) / 576
= 3 / 576
= 3
So, Greatest Common Divisor of 852, 210, 771, 576 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 210, 771, 576
The greatest common divisor of numbers 852, 210, 771, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 210, 771, 576 is 3.
1. What is the GCD of 852, 210, 771, 576?
GCD of given numbers 852, 210, 771, 576 is 3
2. How to calculate the greatest common divisor of 852, 210, 771, 576?
We can find the highest common divisor of 852, 210, 771, 576 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 852, 210, 771, 576 i.e 3.
3. How can I use the GCD of 852, 210, 771, 576Calculator?
Out the numbers 852, 210, 771, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.