Online GCD Calculator is useful to find the GCD of 738, 207, 291, 453 quickly. Get the easiest ways to solve the greatest common divisor of 738, 207, 291, 453 i.e 3 in different methods as follows.
Given Input numbers are 738, 207, 291, 453
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 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
GCD of numbers is the greatest common divisor
So, the GCD (738, 207, 291, 453) = 3.
Given numbers are 738, 207, 291, 453
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 207 are 3 x 3 x 23
Prime factors of 291 are 3 x 97
Prime factors of 453 are 3 x 151
The highest common occurrence is 31
Therefore, GCD of 738, 207, 291, 453 is 3.
Given numbers are 738, 207, 291, 453
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 207) = 16974
GCD(738, 207) = ( 738 x 207 ) / 16974
= 738 / 207
= 738
Step2:
LCM(9, 291) = 873
GCD(9, 291) = ( 9 x 291 ) / 873
= 9 / 291
= 9
Step3:
LCM(3, 453) = 453
GCD(3, 453) = ( 3 x 453 ) / 453
= 3 / 453
= 3
So, Greatest Common Divisor of 738, 207, 291, 453 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 207, 291, 453
The greatest common divisor of numbers 738, 207, 291, 453 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 207, 291, 453 is 3.
1. What is the GCD of 738, 207, 291, 453?
GCD of given numbers 738, 207, 291, 453 is 3
2. How to calculate the greatest common divisor of 738, 207, 291, 453?
We can find the highest common divisor of 738, 207, 291, 453 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, 207, 291, 453 i.e 3.
3. How can I use the GCD of 738, 207, 291, 453Calculator?
Out the numbers 738, 207, 291, 453 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.