Online GCD Calculator is useful to find the GCD of 132, 994, 740, 682 quickly. Get the easiest ways to solve the greatest common divisor of 132, 994, 740, 682 i.e 2 in different methods as follows.
Given Input numbers are 132, 994, 740, 682
In the factoring method, we have to find the divisors of all numbers
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 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (132, 994, 740, 682) = 2.
Given numbers are 132, 994, 740, 682
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 994 are 2 x 7 x 71
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 682 are 2 x 11 x 31
The highest common occurrence is 21
Therefore, GCD of 132, 994, 740, 682 is 2.
Given numbers are 132, 994, 740, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 994) = 65604
GCD(132, 994) = ( 132 x 994 ) / 65604
= 132 / 994
= 132
Step2:
LCM(2, 740) = 740
GCD(2, 740) = ( 2 x 740 ) / 740
= 2 / 740
= 2
Step3:
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
= 2 / 682
= 2
So, Greatest Common Divisor of 132, 994, 740, 682 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 994, 740, 682
The greatest common divisor of numbers 132, 994, 740, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 994, 740, 682 is 2.
1. What is the GCD of 132, 994, 740, 682?
GCD of given numbers 132, 994, 740, 682 is 2
2. How to calculate the greatest common divisor of 132, 994, 740, 682?
We can find the highest common divisor of 132, 994, 740, 682 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 132, 994, 740, 682 i.e 2.
3. How can I use the GCD of 132, 994, 740, 682Calculator?
Out the numbers 132, 994, 740, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.