Online GCD Calculator is useful to find the GCD of 297, 273, 603, 474 quickly. Get the easiest ways to solve the greatest common divisor of 297, 273, 603, 474 i.e 3 in different methods as follows.
Given Input numbers are 297, 273, 603, 474
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 603 :
The positive integer divisors of 603 that completely divides 603 are.
1, 3, 9, 67, 201, 603
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
GCD of numbers is the greatest common divisor
So, the GCD (297, 273, 603, 474) = 3.
Given numbers are 297, 273, 603, 474
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 273 are 3 x 7 x 13
Prime factors of 603 are 3 x 3 x 67
Prime factors of 474 are 2 x 3 x 79
The highest common occurrence is 31
Therefore, GCD of 297, 273, 603, 474 is 3.
Given numbers are 297, 273, 603, 474
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 273) = 27027
GCD(297, 273) = ( 297 x 273 ) / 27027
= 297 / 273
= 297
Step2:
LCM(3, 603) = 603
GCD(3, 603) = ( 3 x 603 ) / 603
= 3 / 603
= 3
Step3:
LCM(3, 474) = 474
GCD(3, 474) = ( 3 x 474 ) / 474
= 3 / 474
= 3
So, Greatest Common Divisor of 297, 273, 603, 474 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 273, 603, 474
The greatest common divisor of numbers 297, 273, 603, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 273, 603, 474 is 3.
1. What is the GCD of 297, 273, 603, 474?
GCD of given numbers 297, 273, 603, 474 is 3
2. How to calculate the greatest common divisor of 297, 273, 603, 474?
We can find the highest common divisor of 297, 273, 603, 474 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 297, 273, 603, 474 i.e 3.
3. How can I use the GCD of 297, 273, 603, 474Calculator?
Out the numbers 297, 273, 603, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.