Online GCD Calculator is useful to find the GCD of 412, 940, 116, 660 quickly. Get the easiest ways to solve the greatest common divisor of 412, 940, 116, 660 i.e 4 in different methods as follows.
Given Input numbers are 412, 940, 116, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (412, 940, 116, 660) = 4.
Given numbers are 412, 940, 116, 660
The list of prime factors of all numbers are
Prime factors of 412 are 2 x 2 x 103
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 116 are 2 x 2 x 29
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 22
Therefore, GCD of 412, 940, 116, 660 is 4.
Given numbers are 412, 940, 116, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(412, 940) = 96820
GCD(412, 940) = ( 412 x 940 ) / 96820
= 412 / 940
= 412
Step2:
LCM(4, 116) = 116
GCD(4, 116) = ( 4 x 116 ) / 116
= 4 / 116
= 4
Step3:
LCM(4, 660) = 660
GCD(4, 660) = ( 4 x 660 ) / 660
= 4 / 660
= 4
So, Greatest Common Divisor of 412, 940, 116, 660 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 412, 940, 116, 660
The greatest common divisor of numbers 412, 940, 116, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 940, 116, 660 is 4.
1. What is the GCD of 412, 940, 116, 660?
GCD of given numbers 412, 940, 116, 660 is 4
2. How to calculate the greatest common divisor of 412, 940, 116, 660?
We can find the highest common divisor of 412, 940, 116, 660 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 412, 940, 116, 660 i.e 4.
3. How can I use the GCD of 412, 940, 116, 660Calculator?
Out the numbers 412, 940, 116, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.