Online GCD Calculator is useful to find the GCD of 267, 933, 993, 348 quickly. Get the easiest ways to solve the greatest common divisor of 267, 933, 993, 348 i.e 3 in different methods as follows.
Given Input numbers are 267, 933, 993, 348
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 933 :
The positive integer divisors of 933 that completely divides 933 are.
1, 3, 311, 933
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
GCD of numbers is the greatest common divisor
So, the GCD (267, 933, 993, 348) = 3.
Given numbers are 267, 933, 993, 348
The list of prime factors of all numbers are
Prime factors of 267 are 3 x 89
Prime factors of 933 are 3 x 311
Prime factors of 993 are 3 x 331
Prime factors of 348 are 2 x 2 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 267, 933, 993, 348 is 3.
Given numbers are 267, 933, 993, 348
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(267, 933) = 83037
GCD(267, 933) = ( 267 x 933 ) / 83037
= 267 / 933
= 267
Step2:
LCM(3, 993) = 993
GCD(3, 993) = ( 3 x 993 ) / 993
= 3 / 993
= 3
Step3:
LCM(3, 348) = 348
GCD(3, 348) = ( 3 x 348 ) / 348
= 3 / 348
= 3
So, Greatest Common Divisor of 267, 933, 993, 348 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 267, 933, 993, 348
The greatest common divisor of numbers 267, 933, 993, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 933, 993, 348 is 3.
1. What is the GCD of 267, 933, 993, 348?
GCD of given numbers 267, 933, 993, 348 is 3
2. How to calculate the greatest common divisor of 267, 933, 993, 348?
We can find the highest common divisor of 267, 933, 993, 348 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, 933, 993, 348 i.e 3.
3. How can I use the GCD of 267, 933, 993, 348Calculator?
Out the numbers 267, 933, 993, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.