Online GCD Calculator is useful to find the GCD of 258, 136, 264, 426 quickly. Get the easiest ways to solve the greatest common divisor of 258, 136, 264, 426 i.e 2 in different methods as follows.
Given Input numbers are 258, 136, 264, 426
In the factoring method, we have to find the divisors of all numbers
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
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 (258, 136, 264, 426) = 2.
Given numbers are 258, 136, 264, 426
The list of prime factors of all numbers are
Prime factors of 258 are 2 x 3 x 43
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 21
Therefore, GCD of 258, 136, 264, 426 is 2.
Given numbers are 258, 136, 264, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(258, 136) = 17544
GCD(258, 136) = ( 258 x 136 ) / 17544
= 258 / 136
= 258
Step2:
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
= 2 / 264
= 2
Step3:
LCM(2, 426) = 426
GCD(2, 426) = ( 2 x 426 ) / 426
= 2 / 426
= 2
So, Greatest Common Divisor of 258, 136, 264, 426 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 258, 136, 264, 426
The greatest common divisor of numbers 258, 136, 264, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 136, 264, 426 is 2.
1. What is the GCD of 258, 136, 264, 426?
GCD of given numbers 258, 136, 264, 426 is 2
2. How to calculate the greatest common divisor of 258, 136, 264, 426?
We can find the highest common divisor of 258, 136, 264, 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 258, 136, 264, 426 i.e 2.
3. How can I use the GCD of 258, 136, 264, 426Calculator?
Out the numbers 258, 136, 264, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.