Online GCD Calculator is useful to find the GCD of 426, 182, 182, 678 quickly. Get the easiest ways to solve the greatest common divisor of 426, 182, 182, 678 i.e 2 in different methods as follows.
Given Input numbers are 426, 182, 182, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
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 (426, 182, 182, 678) = 2.
Given numbers are 426, 182, 182, 678
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 182 are 2 x 7 x 13
Prime factors of 182 are 2 x 7 x 13
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21
Therefore, GCD of 426, 182, 182, 678 is 2.
Given numbers are 426, 182, 182, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 182) = 38766
GCD(426, 182) = ( 426 x 182 ) / 38766
= 426 / 182
= 426
Step2:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
Step3:
LCM(2, 678) = 678
GCD(2, 678) = ( 2 x 678 ) / 678
= 2 / 678
= 2
So, Greatest Common Divisor of 426, 182, 182, 678 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 182, 182, 678
The greatest common divisor of numbers 426, 182, 182, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 182, 182, 678 is 2.
1. What is the GCD of 426, 182, 182, 678?
GCD of given numbers 426, 182, 182, 678 is 2
2. How to calculate the greatest common divisor of 426, 182, 182, 678?
We can find the highest common divisor of 426, 182, 182, 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 426, 182, 182, 678 i.e 2.
3. How can I use the GCD of 426, 182, 182, 678Calculator?
Out the numbers 426, 182, 182, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.