Online GCD Calculator is useful to find the GCD of 267, 291, 423, 912 quickly. Get the easiest ways to solve the greatest common divisor of 267, 291, 423, 912 i.e 3 in different methods as follows.
Given Input numbers are 267, 291, 423, 912
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 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
GCD of numbers is the greatest common divisor
So, the GCD (267, 291, 423, 912) = 3.
Given numbers are 267, 291, 423, 912
The list of prime factors of all numbers are
Prime factors of 267 are 3 x 89
Prime factors of 291 are 3 x 97
Prime factors of 423 are 3 x 3 x 47
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 267, 291, 423, 912 is 3.
Given numbers are 267, 291, 423, 912
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(267, 291) = 25899
GCD(267, 291) = ( 267 x 291 ) / 25899
= 267 / 291
= 267
Step2:
LCM(3, 423) = 423
GCD(3, 423) = ( 3 x 423 ) / 423
= 3 / 423
= 3
Step3:
LCM(3, 912) = 912
GCD(3, 912) = ( 3 x 912 ) / 912
= 3 / 912
= 3
So, Greatest Common Divisor of 267, 291, 423, 912 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 267, 291, 423, 912
The greatest common divisor of numbers 267, 291, 423, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 291, 423, 912 is 3.
1. What is the GCD of 267, 291, 423, 912?
GCD of given numbers 267, 291, 423, 912 is 3
2. How to calculate the greatest common divisor of 267, 291, 423, 912?
We can find the highest common divisor of 267, 291, 423, 912 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, 291, 423, 912 i.e 3.
3. How can I use the GCD of 267, 291, 423, 912Calculator?
Out the numbers 267, 291, 423, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.