Online GCD Calculator is useful to find the GCD of 132, 723, 334, 196 quickly. Get the easiest ways to solve the greatest common divisor of 132, 723, 334, 196 i.e 1 in different methods as follows.
Given Input numbers are 132, 723, 334, 196
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 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
GCD of numbers is the greatest common divisor
So, the GCD (132, 723, 334, 196) = 1.
Given numbers are 132, 723, 334, 196
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 723 are 3 x 241
Prime factors of 334 are 2 x 167
Prime factors of 196 are 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 723, 334, 196
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 723) = 31812
GCD(132, 723) = ( 132 x 723 ) / 31812
= 132 / 723
= 132
Step2:
LCM(3, 334) = 1002
GCD(3, 334) = ( 3 x 334 ) / 1002
= 3 / 334
= 3
Step3:
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
= 1 / 196
= 1
So, Greatest Common Divisor of 132, 723, 334, 196 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 723, 334, 196
The greatest common divisor of numbers 132, 723, 334, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 723, 334, 196 is 1.
1. What is the GCD of 132, 723, 334, 196?
GCD of given numbers 132, 723, 334, 196 is 1
2. How to calculate the greatest common divisor of 132, 723, 334, 196?
We can find the highest common divisor of 132, 723, 334, 196 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, 723, 334, 196 i.e 1.
3. How can I use the GCD of 132, 723, 334, 196Calculator?
Out the numbers 132, 723, 334, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.