Online GCD Calculator is useful to find the GCD of 297, 882, 657 quickly. Get the easiest ways to solve the greatest common divisor of 297, 882, 657 i.e 9 in different methods as follows.
Given Input numbers are 297, 882, 657
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 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
GCD of numbers is the greatest common divisor
So, the GCD (297, 882, 657) = 9.
Given numbers are 297, 882, 657
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 657 are 3 x 3 x 73
The highest common occurrence is 32
Therefore, GCD of 297, 882, 657 is 9.
Given numbers are 297, 882, 657
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 882) = 29106
GCD(297, 882) = ( 297 x 882 ) / 29106
= 297 / 882
= 297
Step2:
LCM(9, 657) = 657
GCD(9, 657) = ( 9 x 657 ) / 657
= 9 / 657
= 9
So, Greatest Common Divisor of 297, 882, 657 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 882, 657
The greatest common divisor of numbers 297, 882, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 882, 657 is 9.
1. What is the GCD of 297, 882, 657?
GCD of given numbers 297, 882, 657 is 9
2. How to calculate the greatest common divisor of 297, 882, 657?
We can find the highest common divisor of 297, 882, 657 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, 882, 657 i.e 9.
3. How can I use the GCD of 297, 882, 657Calculator?
Out the numbers 297, 882, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.