Online GCD Calculator is useful to find the GCD of 297, 594, 990, 357 quickly. Get the easiest ways to solve the greatest common divisor of 297, 594, 990, 357 i.e 3 in different methods as follows.
Given Input numbers are 297, 594, 990, 357
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 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (297, 594, 990, 357) = 3.
Given numbers are 297, 594, 990, 357
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 357 are 3 x 7 x 17
The highest common occurrence is 31
Therefore, GCD of 297, 594, 990, 357 is 3.
Given numbers are 297, 594, 990, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 594) = 594
GCD(297, 594) = ( 297 x 594 ) / 594
= 297 / 594
= 297
Step2:
LCM(297, 990) = 2970
GCD(297, 990) = ( 297 x 990 ) / 2970
= 297 / 990
= 297
Step3:
LCM(99, 357) = 11781
GCD(99, 357) = ( 99 x 357 ) / 11781
= 99 / 357
= 99
So, Greatest Common Divisor of 297, 594, 990, 357 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 594, 990, 357
The greatest common divisor of numbers 297, 594, 990, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 594, 990, 357 is 3.
1. What is the GCD of 297, 594, 990, 357?
GCD of given numbers 297, 594, 990, 357 is 3
2. How to calculate the greatest common divisor of 297, 594, 990, 357?
We can find the highest common divisor of 297, 594, 990, 357 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, 594, 990, 357 i.e 3.
3. How can I use the GCD of 297, 594, 990, 357Calculator?
Out the numbers 297, 594, 990, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.