Online GCD Calculator is useful to find the GCD of 516, 426, 297, 828 quickly. Get the easiest ways to solve the greatest common divisor of 516, 426, 297, 828 i.e 3 in different methods as follows.
Given Input numbers are 516, 426, 297, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
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 (516, 426, 297, 828) = 3.
Given numbers are 516, 426, 297, 828
The list of prime factors of all numbers are
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 426 are 2 x 3 x 71
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 516, 426, 297, 828 is 3.
Given numbers are 516, 426, 297, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(516, 426) = 36636
GCD(516, 426) = ( 516 x 426 ) / 36636
= 516 / 426
= 516
Step2:
LCM(6, 297) = 594
GCD(6, 297) = ( 6 x 297 ) / 594
= 6 / 297
= 6
Step3:
LCM(3, 828) = 828
GCD(3, 828) = ( 3 x 828 ) / 828
= 3 / 828
= 3
So, Greatest Common Divisor of 516, 426, 297, 828 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 516, 426, 297, 828
The greatest common divisor of numbers 516, 426, 297, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 426, 297, 828 is 3.
1. What is the GCD of 516, 426, 297, 828?
GCD of given numbers 516, 426, 297, 828 is 3
2. How to calculate the greatest common divisor of 516, 426, 297, 828?
We can find the highest common divisor of 516, 426, 297, 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 516, 426, 297, 828 i.e 3.
3. How can I use the GCD of 516, 426, 297, 828Calculator?
Out the numbers 516, 426, 297, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.