Online GCD Calculator is useful to find the GCD of 852, 822, 555, 207 quickly. Get the easiest ways to solve the greatest common divisor of 852, 822, 555, 207 i.e 3 in different methods as follows.
Given Input numbers are 852, 822, 555, 207
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 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 555 :
The positive integer divisors of 555 that completely divides 555 are.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
GCD of numbers is the greatest common divisor
So, the GCD (852, 822, 555, 207) = 3.
Given numbers are 852, 822, 555, 207
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 822 are 2 x 3 x 137
Prime factors of 555 are 3 x 5 x 37
Prime factors of 207 are 3 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 852, 822, 555, 207 is 3.
Given numbers are 852, 822, 555, 207
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 822) = 116724
GCD(852, 822) = ( 852 x 822 ) / 116724
= 852 / 822
= 852
Step2:
LCM(6, 555) = 1110
GCD(6, 555) = ( 6 x 555 ) / 1110
= 6 / 555
= 6
Step3:
LCM(3, 207) = 207
GCD(3, 207) = ( 3 x 207 ) / 207
= 3 / 207
= 3
So, Greatest Common Divisor of 852, 822, 555, 207 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 822, 555, 207
The greatest common divisor of numbers 852, 822, 555, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 822, 555, 207 is 3.
1. What is the GCD of 852, 822, 555, 207?
GCD of given numbers 852, 822, 555, 207 is 3
2. How to calculate the greatest common divisor of 852, 822, 555, 207?
We can find the highest common divisor of 852, 822, 555, 207 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, 822, 555, 207 i.e 3.
3. How can I use the GCD of 852, 822, 555, 207Calculator?
Out the numbers 852, 822, 555, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.