Online GCD Calculator is useful to find the GCD of 297, 852, 667, 990 quickly. Get the easiest ways to solve the greatest common divisor of 297, 852, 667, 990 i.e 1 in different methods as follows.
Given Input numbers are 297, 852, 667, 990
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 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 667 :
The positive integer divisors of 667 that completely divides 667 are.
1, 23, 29, 667
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
GCD of numbers is the greatest common divisor
So, the GCD (297, 852, 667, 990) = 1.
Given numbers are 297, 852, 667, 990
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 667 are 23 x 29
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 297, 852, 667, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 852) = 84348
GCD(297, 852) = ( 297 x 852 ) / 84348
= 297 / 852
= 297
Step2:
LCM(3, 667) = 2001
GCD(3, 667) = ( 3 x 667 ) / 2001
= 3 / 667
= 3
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 297, 852, 667, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 852, 667, 990
The greatest common divisor of numbers 297, 852, 667, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 852, 667, 990 is 1.
1. What is the GCD of 297, 852, 667, 990?
GCD of given numbers 297, 852, 667, 990 is 1
2. How to calculate the greatest common divisor of 297, 852, 667, 990?
We can find the highest common divisor of 297, 852, 667, 990 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, 852, 667, 990 i.e 1.
3. How can I use the GCD of 297, 852, 667, 990Calculator?
Out the numbers 297, 852, 667, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.