Online GCD Calculator is useful to find the GCD of 387, 723, 267, 921 quickly. Get the easiest ways to solve the greatest common divisor of 387, 723, 267, 921 i.e 3 in different methods as follows.
Given Input numbers are 387, 723, 267, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (387, 723, 267, 921) = 3.
Given numbers are 387, 723, 267, 921
The list of prime factors of all numbers are
Prime factors of 387 are 3 x 3 x 43
Prime factors of 723 are 3 x 241
Prime factors of 267 are 3 x 89
Prime factors of 921 are 3 x 307
The highest common occurrence is 31
Therefore, GCD of 387, 723, 267, 921 is 3.
Given numbers are 387, 723, 267, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(387, 723) = 93267
GCD(387, 723) = ( 387 x 723 ) / 93267
= 387 / 723
= 387
Step2:
LCM(3, 267) = 267
GCD(3, 267) = ( 3 x 267 ) / 267
= 3 / 267
= 3
Step3:
LCM(3, 921) = 921
GCD(3, 921) = ( 3 x 921 ) / 921
= 3 / 921
= 3
So, Greatest Common Divisor of 387, 723, 267, 921 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 387, 723, 267, 921
The greatest common divisor of numbers 387, 723, 267, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 723, 267, 921 is 3.
1. What is the GCD of 387, 723, 267, 921?
GCD of given numbers 387, 723, 267, 921 is 3
2. How to calculate the greatest common divisor of 387, 723, 267, 921?
We can find the highest common divisor of 387, 723, 267, 921 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 387, 723, 267, 921 i.e 3.
3. How can I use the GCD of 387, 723, 267, 921Calculator?
Out the numbers 387, 723, 267, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.