Online GCD Calculator is useful to find the GCD of 903, 768, 225, 942 quickly. Get the easiest ways to solve the greatest common divisor of 903, 768, 225, 942 i.e 3 in different methods as follows.
Given Input numbers are 903, 768, 225, 942
In the factoring method, we have to find the divisors of all numbers
Divisors of 903 :
The positive integer divisors of 903 that completely divides 903 are.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
GCD of numbers is the greatest common divisor
So, the GCD (903, 768, 225, 942) = 3.
Given numbers are 903, 768, 225, 942
The list of prime factors of all numbers are
Prime factors of 903 are 3 x 7 x 43
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 942 are 2 x 3 x 157
The highest common occurrence is 31
Therefore, GCD of 903, 768, 225, 942 is 3.
Given numbers are 903, 768, 225, 942
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(903, 768) = 231168
GCD(903, 768) = ( 903 x 768 ) / 231168
= 903 / 768
= 903
Step2:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
Step3:
LCM(3, 942) = 942
GCD(3, 942) = ( 3 x 942 ) / 942
= 3 / 942
= 3
So, Greatest Common Divisor of 903, 768, 225, 942 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 903, 768, 225, 942
The greatest common divisor of numbers 903, 768, 225, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 903, 768, 225, 942 is 3.
1. What is the GCD of 903, 768, 225, 942?
GCD of given numbers 903, 768, 225, 942 is 3
2. How to calculate the greatest common divisor of 903, 768, 225, 942?
We can find the highest common divisor of 903, 768, 225, 942 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 903, 768, 225, 942 i.e 3.
3. How can I use the GCD of 903, 768, 225, 942Calculator?
Out the numbers 903, 768, 225, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.