Online GCD Calculator is useful to find the GCD of 828, 534, 702, 168 quickly. Get the easiest ways to solve the greatest common divisor of 828, 534, 702, 168 i.e 6 in different methods as follows.
Given Input numbers are 828, 534, 702, 168
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
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 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 (828, 534, 702, 168) = 6.
Given numbers are 828, 534, 702, 168
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 534 are 2 x 3 x 89
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21 x 31
Therefore, GCD of 828, 534, 702, 168 is 6.
Given numbers are 828, 534, 702, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 534) = 73692
GCD(828, 534) = ( 828 x 534 ) / 73692
= 828 / 534
= 828
Step2:
LCM(6, 702) = 702
GCD(6, 702) = ( 6 x 702 ) / 702
= 6 / 702
= 6
Step3:
LCM(6, 168) = 168
GCD(6, 168) = ( 6 x 168 ) / 168
= 6 / 168
= 6
So, Greatest Common Divisor of 828, 534, 702, 168 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 534, 702, 168
The greatest common divisor of numbers 828, 534, 702, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 534, 702, 168 is 6.
1. What is the GCD of 828, 534, 702, 168?
GCD of given numbers 828, 534, 702, 168 is 6
2. How to calculate the greatest common divisor of 828, 534, 702, 168?
We can find the highest common divisor of 828, 534, 702, 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 828, 534, 702, 168 i.e 6.
3. How can I use the GCD of 828, 534, 702, 168Calculator?
Out the numbers 828, 534, 702, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.