Online GCD Calculator is useful to find the GCD of 267, 567, 954 quickly. Get the easiest ways to solve the greatest common divisor of 267, 567, 954 i.e 3 in different methods as follows.
Given Input numbers are 267, 567, 954
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 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
GCD of numbers is the greatest common divisor
So, the GCD (267, 567, 954) = 3.
Given numbers are 267, 567, 954
The list of prime factors of all numbers are
Prime factors of 267 are 3 x 89
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 954 are 2 x 3 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 267, 567, 954 is 3.
Given numbers are 267, 567, 954
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(267, 567) = 50463
GCD(267, 567) = ( 267 x 567 ) / 50463
= 267 / 567
= 267
Step2:
LCM(3, 954) = 954
GCD(3, 954) = ( 3 x 954 ) / 954
= 3 / 954
= 3
So, Greatest Common Divisor of 267, 567, 954 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 267, 567, 954
The greatest common divisor of numbers 267, 567, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 567, 954 is 3.
1. What is the GCD of 267, 567, 954?
GCD of given numbers 267, 567, 954 is 3
2. How to calculate the greatest common divisor of 267, 567, 954?
We can find the highest common divisor of 267, 567, 954 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, 567, 954 i.e 3.
3. How can I use the GCD of 267, 567, 954Calculator?
Out the numbers 267, 567, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.