Online GCD Calculator is useful to find the GCD of 525, 462, 558, 129 quickly. Get the easiest ways to solve the greatest common divisor of 525, 462, 558, 129 i.e 3 in different methods as follows.
Given Input numbers are 525, 462, 558, 129
In the factoring method, we have to find the divisors of all numbers
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
GCD of numbers is the greatest common divisor
So, the GCD (525, 462, 558, 129) = 3.
Given numbers are 525, 462, 558, 129
The list of prime factors of all numbers are
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 129 are 3 x 43
The highest common occurrence is 31
Therefore, GCD of 525, 462, 558, 129 is 3.
Given numbers are 525, 462, 558, 129
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(525, 462) = 11550
GCD(525, 462) = ( 525 x 462 ) / 11550
= 525 / 462
= 525
Step2:
LCM(21, 558) = 3906
GCD(21, 558) = ( 21 x 558 ) / 3906
= 21 / 558
= 21
Step3:
LCM(3, 129) = 129
GCD(3, 129) = ( 3 x 129 ) / 129
= 3 / 129
= 3
So, Greatest Common Divisor of 525, 462, 558, 129 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 525, 462, 558, 129
The greatest common divisor of numbers 525, 462, 558, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 462, 558, 129 is 3.
1. What is the GCD of 525, 462, 558, 129?
GCD of given numbers 525, 462, 558, 129 is 3
2. How to calculate the greatest common divisor of 525, 462, 558, 129?
We can find the highest common divisor of 525, 462, 558, 129 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 525, 462, 558, 129 i.e 3.
3. How can I use the GCD of 525, 462, 558, 129Calculator?
Out the numbers 525, 462, 558, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.