Online GCD Calculator is useful to find the GCD of 132, 141, 655, 714 quickly. Get the easiest ways to solve the greatest common divisor of 132, 141, 655, 714 i.e 1 in different methods as follows.
Given Input numbers are 132, 141, 655, 714
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 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (132, 141, 655, 714) = 1.
Given numbers are 132, 141, 655, 714
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 141 are 3 x 47
Prime factors of 655 are 5 x 131
Prime factors of 714 are 2 x 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 141, 655, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 141) = 6204
GCD(132, 141) = ( 132 x 141 ) / 6204
= 132 / 141
= 132
Step2:
LCM(3, 655) = 1965
GCD(3, 655) = ( 3 x 655 ) / 1965
= 3 / 655
= 3
Step3:
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
= 1 / 714
= 1
So, Greatest Common Divisor of 132, 141, 655, 714 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 141, 655, 714
The greatest common divisor of numbers 132, 141, 655, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 141, 655, 714 is 1.
1. What is the GCD of 132, 141, 655, 714?
GCD of given numbers 132, 141, 655, 714 is 1
2. How to calculate the greatest common divisor of 132, 141, 655, 714?
We can find the highest common divisor of 132, 141, 655, 714 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, 141, 655, 714 i.e 1.
3. How can I use the GCD of 132, 141, 655, 714Calculator?
Out the numbers 132, 141, 655, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.