Online GCD Calculator is useful to find the GCD of 429, 375, 585, 258 quickly. Get the easiest ways to solve the greatest common divisor of 429, 375, 585, 258 i.e 3 in different methods as follows.
Given Input numbers are 429, 375, 585, 258
In the factoring method, we have to find the divisors of all numbers
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
GCD of numbers is the greatest common divisor
So, the GCD (429, 375, 585, 258) = 3.
Given numbers are 429, 375, 585, 258
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 258 are 2 x 3 x 43
The highest common occurrence is 31
Therefore, GCD of 429, 375, 585, 258 is 3.
Given numbers are 429, 375, 585, 258
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 375) = 53625
GCD(429, 375) = ( 429 x 375 ) / 53625
= 429 / 375
= 429
Step2:
LCM(3, 585) = 585
GCD(3, 585) = ( 3 x 585 ) / 585
= 3 / 585
= 3
Step3:
LCM(3, 258) = 258
GCD(3, 258) = ( 3 x 258 ) / 258
= 3 / 258
= 3
So, Greatest Common Divisor of 429, 375, 585, 258 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 375, 585, 258
The greatest common divisor of numbers 429, 375, 585, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 375, 585, 258 is 3.
1. What is the GCD of 429, 375, 585, 258?
GCD of given numbers 429, 375, 585, 258 is 3
2. How to calculate the greatest common divisor of 429, 375, 585, 258?
We can find the highest common divisor of 429, 375, 585, 258 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 429, 375, 585, 258 i.e 3.
3. How can I use the GCD of 429, 375, 585, 258Calculator?
Out the numbers 429, 375, 585, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.