Online GCD Calculator is useful to find the GCD of 267, 489, 525 quickly. Get the easiest ways to solve the greatest common divisor of 267, 489, 525 i.e 3 in different methods as follows.
Given Input numbers are 267, 489, 525
In the factoring method, we have to find the divisors of all numbers
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
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
GCD of numbers is the greatest common divisor
So, the GCD (267, 489, 525) = 3.
Given numbers are 267, 489, 525
The list of prime factors of all numbers are
Prime factors of 267 are 3 x 89
Prime factors of 489 are 3 x 163
Prime factors of 525 are 3 x 5 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 267, 489, 525 is 3.
Given numbers are 267, 489, 525
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(267, 489) = 43521
GCD(267, 489) = ( 267 x 489 ) / 43521
= 267 / 489
= 267
Step2:
LCM(3, 525) = 525
GCD(3, 525) = ( 3 x 525 ) / 525
= 3 / 525
= 3
So, Greatest Common Divisor of 267, 489, 525 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 267, 489, 525
The greatest common divisor of numbers 267, 489, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 489, 525 is 3.
1. What is the GCD of 267, 489, 525?
GCD of given numbers 267, 489, 525 is 3
2. How to calculate the greatest common divisor of 267, 489, 525?
We can find the highest common divisor of 267, 489, 525 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 267, 489, 525 i.e 3.
3. How can I use the GCD of 267, 489, 525Calculator?
Out the numbers 267, 489, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.