Online GCD Calculator is useful to find the GCD of 306, 282, 424, 426 quickly. Get the easiest ways to solve the greatest common divisor of 306, 282, 424, 426 i.e 2 in different methods as follows.
Given Input numbers are 306, 282, 424, 426
In the factoring method, we have to find the divisors of all numbers
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
GCD of numbers is the greatest common divisor
So, the GCD (306, 282, 424, 426) = 2.
Given numbers are 306, 282, 424, 426
The list of prime factors of all numbers are
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 282 are 2 x 3 x 47
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 21
Therefore, GCD of 306, 282, 424, 426 is 2.
Given numbers are 306, 282, 424, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(306, 282) = 14382
GCD(306, 282) = ( 306 x 282 ) / 14382
= 306 / 282
= 306
Step2:
LCM(6, 424) = 1272
GCD(6, 424) = ( 6 x 424 ) / 1272
= 6 / 424
= 6
Step3:
LCM(2, 426) = 426
GCD(2, 426) = ( 2 x 426 ) / 426
= 2 / 426
= 2
So, Greatest Common Divisor of 306, 282, 424, 426 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 306, 282, 424, 426
The greatest common divisor of numbers 306, 282, 424, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 282, 424, 426 is 2.
1. What is the GCD of 306, 282, 424, 426?
GCD of given numbers 306, 282, 424, 426 is 2
2. How to calculate the greatest common divisor of 306, 282, 424, 426?
We can find the highest common divisor of 306, 282, 424, 426 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 306, 282, 424, 426 i.e 2.
3. How can I use the GCD of 306, 282, 424, 426Calculator?
Out the numbers 306, 282, 424, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.