Online GCD Calculator is useful to find the GCD of 567, 702, 873, 828 quickly. Get the easiest ways to solve the greatest common divisor of 567, 702, 873, 828 i.e 9 in different methods as follows.
Given Input numbers are 567, 702, 873, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (567, 702, 873, 828) = 9.
Given numbers are 567, 702, 873, 828
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 873 are 3 x 3 x 97
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 32
Therefore, GCD of 567, 702, 873, 828 is 9.
Given numbers are 567, 702, 873, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 702) = 14742
GCD(567, 702) = ( 567 x 702 ) / 14742
= 567 / 702
= 567
Step2:
LCM(27, 873) = 2619
GCD(27, 873) = ( 27 x 873 ) / 2619
= 27 / 873
= 27
Step3:
LCM(9, 828) = 828
GCD(9, 828) = ( 9 x 828 ) / 828
= 9 / 828
= 9
So, Greatest Common Divisor of 567, 702, 873, 828 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 702, 873, 828
The greatest common divisor of numbers 567, 702, 873, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 702, 873, 828 is 9.
1. What is the GCD of 567, 702, 873, 828?
GCD of given numbers 567, 702, 873, 828 is 9
2. How to calculate the greatest common divisor of 567, 702, 873, 828?
We can find the highest common divisor of 567, 702, 873, 828 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 567, 702, 873, 828 i.e 9.
3. How can I use the GCD of 567, 702, 873, 828Calculator?
Out the numbers 567, 702, 873, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.