Online GCD Calculator is useful to find the GCD of 126, 903, 882 quickly. Get the easiest ways to solve the greatest common divisor of 126, 903, 882 i.e 21 in different methods as follows.
Given Input numbers are 126, 903, 882
In the factoring method, we have to find the divisors of all numbers
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 903 :
The positive integer divisors of 903 that completely divides 903 are.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
GCD of numbers is the greatest common divisor
So, the GCD (126, 903, 882) = 21.
Given numbers are 126, 903, 882
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 903 are 3 x 7 x 43
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 31 x 71
Therefore, GCD of 126, 903, 882 is 21.
Given numbers are 126, 903, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 903) = 5418
GCD(126, 903) = ( 126 x 903 ) / 5418
= 126 / 903
= 126
Step2:
LCM(21, 882) = 882
GCD(21, 882) = ( 21 x 882 ) / 882
= 21 / 882
= 21
So, Greatest Common Divisor of 126, 903, 882 is 21
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 903, 882
The greatest common divisor of numbers 126, 903, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 903, 882 is 21.
1. What is the GCD of 126, 903, 882?
GCD of given numbers 126, 903, 882 is 21
2. How to calculate the greatest common divisor of 126, 903, 882?
We can find the highest common divisor of 126, 903, 882 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 126, 903, 882 i.e 21.
3. How can I use the GCD of 126, 903, 882Calculator?
Out the numbers 126, 903, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.