Online GCD Calculator is useful to find the GCD of 123, 450, 732, 849 quickly. Get the easiest ways to solve the greatest common divisor of 123, 450, 732, 849 i.e 3 in different methods as follows.
Given Input numbers are 123, 450, 732, 849
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
GCD of numbers is the greatest common divisor
So, the GCD (123, 450, 732, 849) = 3.
Given numbers are 123, 450, 732, 849
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 849 are 3 x 283
The highest common occurrence is 31
Therefore, GCD of 123, 450, 732, 849 is 3.
Given numbers are 123, 450, 732, 849
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 450) = 18450
GCD(123, 450) = ( 123 x 450 ) / 18450
= 123 / 450
= 123
Step2:
LCM(3, 732) = 732
GCD(3, 732) = ( 3 x 732 ) / 732
= 3 / 732
= 3
Step3:
LCM(3, 849) = 849
GCD(3, 849) = ( 3 x 849 ) / 849
= 3 / 849
= 3
So, Greatest Common Divisor of 123, 450, 732, 849 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 450, 732, 849
The greatest common divisor of numbers 123, 450, 732, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 450, 732, 849 is 3.
1. What is the GCD of 123, 450, 732, 849?
GCD of given numbers 123, 450, 732, 849 is 3
2. How to calculate the greatest common divisor of 123, 450, 732, 849?
We can find the highest common divisor of 123, 450, 732, 849 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 123, 450, 732, 849 i.e 3.
3. How can I use the GCD of 123, 450, 732, 849Calculator?
Out the numbers 123, 450, 732, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.