Online GCD Calculator is useful to find the GCD of 828, 756, 122, 678 quickly. Get the easiest ways to solve the greatest common divisor of 828, 756, 122, 678 i.e 2 in different methods as follows.
Given Input numbers are 828, 756, 122, 678
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 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (828, 756, 122, 678) = 2.
Given numbers are 828, 756, 122, 678
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 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 122 are 2 x 61
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21
Therefore, GCD of 828, 756, 122, 678 is 2.
Given numbers are 828, 756, 122, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 756) = 17388
GCD(828, 756) = ( 828 x 756 ) / 17388
= 828 / 756
= 828
Step2:
LCM(36, 122) = 2196
GCD(36, 122) = ( 36 x 122 ) / 2196
= 36 / 122
= 36
Step3:
LCM(2, 678) = 678
GCD(2, 678) = ( 2 x 678 ) / 678
= 2 / 678
= 2
So, Greatest Common Divisor of 828, 756, 122, 678 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 756, 122, 678
The greatest common divisor of numbers 828, 756, 122, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 756, 122, 678 is 2.
1. What is the GCD of 828, 756, 122, 678?
GCD of given numbers 828, 756, 122, 678 is 2
2. How to calculate the greatest common divisor of 828, 756, 122, 678?
We can find the highest common divisor of 828, 756, 122, 678 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, 756, 122, 678 i.e 2.
3. How can I use the GCD of 828, 756, 122, 678Calculator?
Out the numbers 828, 756, 122, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.