Online GCD Calculator is useful to find the GCD of 727, 660, 429, 749 quickly. Get the easiest ways to solve the greatest common divisor of 727, 660, 429, 749 i.e 1 in different methods as follows.
Given Input numbers are 727, 660, 429, 749
In the factoring method, we have to find the divisors of all numbers
Divisors of 727 :
The positive integer divisors of 727 that completely divides 727 are.
1, 727
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 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (727, 660, 429, 749) = 1.
Given numbers are 727, 660, 429, 749
The list of prime factors of all numbers are
Prime factors of 727 are 727
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 429 are 3 x 11 x 13
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 727, 660, 429, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(727, 660) = 479820
GCD(727, 660) = ( 727 x 660 ) / 479820
= 727 / 660
= 727
Step2:
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
= 1 / 429
= 1
Step3:
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
= 1 / 749
= 1
So, Greatest Common Divisor of 727, 660, 429, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 727, 660, 429, 749
The greatest common divisor of numbers 727, 660, 429, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 727, 660, 429, 749 is 1.
1. What is the GCD of 727, 660, 429, 749?
GCD of given numbers 727, 660, 429, 749 is 1
2. How to calculate the greatest common divisor of 727, 660, 429, 749?
We can find the highest common divisor of 727, 660, 429, 749 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 727, 660, 429, 749 i.e 1.
3. How can I use the GCD of 727, 660, 429, 749Calculator?
Out the numbers 727, 660, 429, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.