Online GCD Calculator is useful to find the GCD of 282, 291, 390, 867 quickly. Get the easiest ways to solve the greatest common divisor of 282, 291, 390, 867 i.e 3 in different methods as follows.
Given Input numbers are 282, 291, 390, 867
In the factoring method, we have to find the divisors of all numbers
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
GCD of numbers is the greatest common divisor
So, the GCD (282, 291, 390, 867) = 3.
Given numbers are 282, 291, 390, 867
The list of prime factors of all numbers are
Prime factors of 282 are 2 x 3 x 47
Prime factors of 291 are 3 x 97
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 867 are 3 x 17 x 17
The highest common occurrence is 31
Therefore, GCD of 282, 291, 390, 867 is 3.
Given numbers are 282, 291, 390, 867
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(282, 291) = 27354
GCD(282, 291) = ( 282 x 291 ) / 27354
= 282 / 291
= 282
Step2:
LCM(3, 390) = 390
GCD(3, 390) = ( 3 x 390 ) / 390
= 3 / 390
= 3
Step3:
LCM(3, 867) = 867
GCD(3, 867) = ( 3 x 867 ) / 867
= 3 / 867
= 3
So, Greatest Common Divisor of 282, 291, 390, 867 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 282, 291, 390, 867
The greatest common divisor of numbers 282, 291, 390, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 282, 291, 390, 867 is 3.
1. What is the GCD of 282, 291, 390, 867?
GCD of given numbers 282, 291, 390, 867 is 3
2. How to calculate the greatest common divisor of 282, 291, 390, 867?
We can find the highest common divisor of 282, 291, 390, 867 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 282, 291, 390, 867 i.e 3.
3. How can I use the GCD of 282, 291, 390, 867Calculator?
Out the numbers 282, 291, 390, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.