Online GCD Calculator is useful to find the GCD of 852, 267, 570, 168 quickly. Get the easiest ways to solve the greatest common divisor of 852, 267, 570, 168 i.e 3 in different methods as follows.
Given Input numbers are 852, 267, 570, 168
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 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (852, 267, 570, 168) = 3.
Given numbers are 852, 267, 570, 168
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 267 are 3 x 89
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 852, 267, 570, 168 is 3.
Given numbers are 852, 267, 570, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 267) = 75828
GCD(852, 267) = ( 852 x 267 ) / 75828
= 852 / 267
= 852
Step2:
LCM(3, 570) = 570
GCD(3, 570) = ( 3 x 570 ) / 570
= 3 / 570
= 3
Step3:
LCM(3, 168) = 168
GCD(3, 168) = ( 3 x 168 ) / 168
= 3 / 168
= 3
So, Greatest Common Divisor of 852, 267, 570, 168 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 267, 570, 168
The greatest common divisor of numbers 852, 267, 570, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 267, 570, 168 is 3.
1. What is the GCD of 852, 267, 570, 168?
GCD of given numbers 852, 267, 570, 168 is 3
2. How to calculate the greatest common divisor of 852, 267, 570, 168?
We can find the highest common divisor of 852, 267, 570, 168 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, 267, 570, 168 i.e 3.
3. How can I use the GCD of 852, 267, 570, 168Calculator?
Out the numbers 852, 267, 570, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.