Online GCD Calculator is useful to find the GCD of 930, 135, 882, 132 quickly. Get the easiest ways to solve the greatest common divisor of 930, 135, 882, 132 i.e 3 in different methods as follows.
Given Input numbers are 930, 135, 882, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 930 :
The positive integer divisors of 930 that completely divides 930 are.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
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
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (930, 135, 882, 132) = 3.
Given numbers are 930, 135, 882, 132
The list of prime factors of all numbers are
Prime factors of 930 are 2 x 3 x 5 x 31
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 930, 135, 882, 132 is 3.
Given numbers are 930, 135, 882, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(930, 135) = 8370
GCD(930, 135) = ( 930 x 135 ) / 8370
= 930 / 135
= 930
Step2:
LCM(15, 882) = 4410
GCD(15, 882) = ( 15 x 882 ) / 4410
= 15 / 882
= 15
Step3:
LCM(3, 132) = 132
GCD(3, 132) = ( 3 x 132 ) / 132
= 3 / 132
= 3
So, Greatest Common Divisor of 930, 135, 882, 132 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 930, 135, 882, 132
The greatest common divisor of numbers 930, 135, 882, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 930, 135, 882, 132 is 3.
1. What is the GCD of 930, 135, 882, 132?
GCD of given numbers 930, 135, 882, 132 is 3
2. How to calculate the greatest common divisor of 930, 135, 882, 132?
We can find the highest common divisor of 930, 135, 882, 132 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 930, 135, 882, 132 i.e 3.
3. How can I use the GCD of 930, 135, 882, 132Calculator?
Out the numbers 930, 135, 882, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.