Online GCD Calculator is useful to find the GCD of 744, 987, 231, 489 quickly. Get the easiest ways to solve the greatest common divisor of 744, 987, 231, 489 i.e 3 in different methods as follows.
Given Input numbers are 744, 987, 231, 489
In the factoring method, we have to find the divisors of all numbers
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
GCD of numbers is the greatest common divisor
So, the GCD (744, 987, 231, 489) = 3.
Given numbers are 744, 987, 231, 489
The list of prime factors of all numbers are
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 987 are 3 x 7 x 47
Prime factors of 231 are 3 x 7 x 11
Prime factors of 489 are 3 x 163
The highest common occurrence is 31
Therefore, GCD of 744, 987, 231, 489 is 3.
Given numbers are 744, 987, 231, 489
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 987) = 244776
GCD(744, 987) = ( 744 x 987 ) / 244776
= 744 / 987
= 744
Step2:
LCM(3, 231) = 231
GCD(3, 231) = ( 3 x 231 ) / 231
= 3 / 231
= 3
Step3:
LCM(3, 489) = 489
GCD(3, 489) = ( 3 x 489 ) / 489
= 3 / 489
= 3
So, Greatest Common Divisor of 744, 987, 231, 489 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 744, 987, 231, 489
The greatest common divisor of numbers 744, 987, 231, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 987, 231, 489 is 3.
1. What is the GCD of 744, 987, 231, 489?
GCD of given numbers 744, 987, 231, 489 is 3
2. How to calculate the greatest common divisor of 744, 987, 231, 489?
We can find the highest common divisor of 744, 987, 231, 489 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 744, 987, 231, 489 i.e 3.
3. How can I use the GCD of 744, 987, 231, 489Calculator?
Out the numbers 744, 987, 231, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.