Online GCD Calculator is useful to find the GCD of 969, 249, 255 quickly. Get the easiest ways to solve the greatest common divisor of 969, 249, 255 i.e 3 in different methods as follows.
Given Input numbers are 969, 249, 255
In the factoring method, we have to find the divisors of all numbers
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
GCD of numbers is the greatest common divisor
So, the GCD (969, 249, 255) = 3.
Given numbers are 969, 249, 255
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 249 are 3 x 83
Prime factors of 255 are 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 969, 249, 255 is 3.
Given numbers are 969, 249, 255
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 249) = 80427
GCD(969, 249) = ( 969 x 249 ) / 80427
= 969 / 249
= 969
Step2:
LCM(3, 255) = 255
GCD(3, 255) = ( 3 x 255 ) / 255
= 3 / 255
= 3
So, Greatest Common Divisor of 969, 249, 255 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 969, 249, 255
The greatest common divisor of numbers 969, 249, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 249, 255 is 3.
1. What is the GCD of 969, 249, 255?
GCD of given numbers 969, 249, 255 is 3
2. How to calculate the greatest common divisor of 969, 249, 255?
We can find the highest common divisor of 969, 249, 255 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 969, 249, 255 i.e 3.
3. How can I use the GCD of 969, 249, 255Calculator?
Out the numbers 969, 249, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.