Online GCD Calculator is useful to find the GCD of 267, 389, 74 quickly. Get the easiest ways to solve the greatest common divisor of 267, 389, 74 i.e 1 in different methods as follows.
Given Input numbers are 267, 389, 74
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 389 :
The positive integer divisors of 389 that completely divides 389 are.
1, 389
Divisors of 74 :
The positive integer divisors of 74 that completely divides 74 are.
1, 2, 37, 74
GCD of numbers is the greatest common divisor
So, the GCD (267, 389, 74) = 1.
Given numbers are 267, 389, 74
The list of prime factors of all numbers are
Prime factors of 267 are 3 x 89
Prime factors of 389 are 389
Prime factors of 74 are 2 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 267, 389, 74
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(267, 389) = 103863
GCD(267, 389) = ( 267 x 389 ) / 103863
= 267 / 389
= 267
Step2:
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
= 1 / 74
= 1
So, Greatest Common Divisor of 267, 389, 74 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 267, 389, 74
The greatest common divisor of numbers 267, 389, 74 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 389, 74 is 1.
1. What is the GCD of 267, 389, 74?
GCD of given numbers 267, 389, 74 is 1
2. How to calculate the greatest common divisor of 267, 389, 74?
We can find the highest common divisor of 267, 389, 74 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, 389, 74 i.e 1.
3. How can I use the GCD of 267, 389, 74Calculator?
Out the numbers 267, 389, 74 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.