Online GCD Calculator is useful to find the GCD of 738, 477, 189, 267 quickly. Get the easiest ways to solve the greatest common divisor of 738, 477, 189, 267 i.e 3 in different methods as follows.
Given Input numbers are 738, 477, 189, 267
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
GCD of numbers is the greatest common divisor
So, the GCD (738, 477, 189, 267) = 3.
Given numbers are 738, 477, 189, 267
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 477 are 3 x 3 x 53
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 267 are 3 x 89
The highest common occurrence is 31
Therefore, GCD of 738, 477, 189, 267 is 3.
Given numbers are 738, 477, 189, 267
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 477) = 39114
GCD(738, 477) = ( 738 x 477 ) / 39114
= 738 / 477
= 738
Step2:
LCM(9, 189) = 189
GCD(9, 189) = ( 9 x 189 ) / 189
= 9 / 189
= 9
Step3:
LCM(9, 267) = 801
GCD(9, 267) = ( 9 x 267 ) / 801
= 9 / 267
= 9
So, Greatest Common Divisor of 738, 477, 189, 267 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 477, 189, 267
The greatest common divisor of numbers 738, 477, 189, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 477, 189, 267 is 3.
1. What is the GCD of 738, 477, 189, 267?
GCD of given numbers 738, 477, 189, 267 is 3
2. How to calculate the greatest common divisor of 738, 477, 189, 267?
We can find the highest common divisor of 738, 477, 189, 267 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 738, 477, 189, 267 i.e 3.
3. How can I use the GCD of 738, 477, 189, 267Calculator?
Out the numbers 738, 477, 189, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.