Online GCD Calculator is useful to find the GCD of 852, 792, 369, 768 quickly. Get the easiest ways to solve the greatest common divisor of 852, 792, 369, 768 i.e 3 in different methods as follows.
Given Input numbers are 852, 792, 369, 768
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 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
GCD of numbers is the greatest common divisor
So, the GCD (852, 792, 369, 768) = 3.
Given numbers are 852, 792, 369, 768
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 369 are 3 x 3 x 41
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 852, 792, 369, 768 is 3.
Given numbers are 852, 792, 369, 768
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 792) = 56232
GCD(852, 792) = ( 852 x 792 ) / 56232
= 852 / 792
= 852
Step2:
LCM(12, 369) = 1476
GCD(12, 369) = ( 12 x 369 ) / 1476
= 12 / 369
= 12
Step3:
LCM(3, 768) = 768
GCD(3, 768) = ( 3 x 768 ) / 768
= 3 / 768
= 3
So, Greatest Common Divisor of 852, 792, 369, 768 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 792, 369, 768
The greatest common divisor of numbers 852, 792, 369, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 792, 369, 768 is 3.
1. What is the GCD of 852, 792, 369, 768?
GCD of given numbers 852, 792, 369, 768 is 3
2. How to calculate the greatest common divisor of 852, 792, 369, 768?
We can find the highest common divisor of 852, 792, 369, 768 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, 792, 369, 768 i.e 3.
3. How can I use the GCD of 852, 792, 369, 768Calculator?
Out the numbers 852, 792, 369, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.