Online GCD Calculator is useful to find the GCD of 258, 642, 468, 350 quickly. Get the easiest ways to solve the greatest common divisor of 258, 642, 468, 350 i.e 2 in different methods as follows.
Given Input numbers are 258, 642, 468, 350
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 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (258, 642, 468, 350) = 2.
Given numbers are 258, 642, 468, 350
The list of prime factors of all numbers are
Prime factors of 258 are 2 x 3 x 43
Prime factors of 642 are 2 x 3 x 107
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 350 are 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 258, 642, 468, 350 is 2.
Given numbers are 258, 642, 468, 350
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(258, 642) = 27606
GCD(258, 642) = ( 258 x 642 ) / 27606
= 258 / 642
= 258
Step2:
LCM(6, 468) = 468
GCD(6, 468) = ( 6 x 468 ) / 468
= 6 / 468
= 6
Step3:
LCM(6, 350) = 1050
GCD(6, 350) = ( 6 x 350 ) / 1050
= 6 / 350
= 6
So, Greatest Common Divisor of 258, 642, 468, 350 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 258, 642, 468, 350
The greatest common divisor of numbers 258, 642, 468, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 642, 468, 350 is 2.
1. What is the GCD of 258, 642, 468, 350?
GCD of given numbers 258, 642, 468, 350 is 2
2. How to calculate the greatest common divisor of 258, 642, 468, 350?
We can find the highest common divisor of 258, 642, 468, 350 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, 642, 468, 350 i.e 2.
3. How can I use the GCD of 258, 642, 468, 350Calculator?
Out the numbers 258, 642, 468, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.