Online GCD Calculator is useful to find the GCD of 282, 822, 732, 828 quickly. Get the easiest ways to solve the greatest common divisor of 282, 822, 732, 828 i.e 6 in different methods as follows.
Given Input numbers are 282, 822, 732, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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 (282, 822, 732, 828) = 6.
Given numbers are 282, 822, 732, 828
The list of prime factors of all numbers are
Prime factors of 282 are 2 x 3 x 47
Prime factors of 822 are 2 x 3 x 137
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 21 x 31
Therefore, GCD of 282, 822, 732, 828 is 6.
Given numbers are 282, 822, 732, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(282, 822) = 38634
GCD(282, 822) = ( 282 x 822 ) / 38634
= 282 / 822
= 282
Step2:
LCM(6, 732) = 732
GCD(6, 732) = ( 6 x 732 ) / 732
= 6 / 732
= 6
Step3:
LCM(6, 828) = 828
GCD(6, 828) = ( 6 x 828 ) / 828
= 6 / 828
= 6
So, Greatest Common Divisor of 282, 822, 732, 828 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 282, 822, 732, 828
The greatest common divisor of numbers 282, 822, 732, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 282, 822, 732, 828 is 6.
1. What is the GCD of 282, 822, 732, 828?
GCD of given numbers 282, 822, 732, 828 is 6
2. How to calculate the greatest common divisor of 282, 822, 732, 828?
We can find the highest common divisor of 282, 822, 732, 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 282, 822, 732, 828 i.e 6.
3. How can I use the GCD of 282, 822, 732, 828Calculator?
Out the numbers 282, 822, 732, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.