Online GCD Calculator is useful to find the GCD of 660, 132, 309, 741 quickly. Get the easiest ways to solve the greatest common divisor of 660, 132, 309, 741 i.e 3 in different methods as follows.
Given Input numbers are 660, 132, 309, 741
In the factoring method, we have to find the divisors of all numbers
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
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
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
GCD of numbers is the greatest common divisor
So, the GCD (660, 132, 309, 741) = 3.
Given numbers are 660, 132, 309, 741
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 309 are 3 x 103
Prime factors of 741 are 3 x 13 x 19
The highest common occurrence is 31
Therefore, GCD of 660, 132, 309, 741 is 3.
Given numbers are 660, 132, 309, 741
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 132) = 660
GCD(660, 132) = ( 660 x 132 ) / 660
= 660 / 132
= 660
Step2:
LCM(132, 309) = 13596
GCD(132, 309) = ( 132 x 309 ) / 13596
= 132 / 309
= 132
Step3:
LCM(3, 741) = 741
GCD(3, 741) = ( 3 x 741 ) / 741
= 3 / 741
= 3
So, Greatest Common Divisor of 660, 132, 309, 741 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 132, 309, 741
The greatest common divisor of numbers 660, 132, 309, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 132, 309, 741 is 3.
1. What is the GCD of 660, 132, 309, 741?
GCD of given numbers 660, 132, 309, 741 is 3
2. How to calculate the greatest common divisor of 660, 132, 309, 741?
We can find the highest common divisor of 660, 132, 309, 741 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 660, 132, 309, 741 i.e 3.
3. How can I use the GCD of 660, 132, 309, 741Calculator?
Out the numbers 660, 132, 309, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.