Online GCD Calculator is useful to find the GCD of 309, 762, 157, 723 quickly. Get the easiest ways to solve the greatest common divisor of 309, 762, 157, 723 i.e 1 in different methods as follows.
Given Input numbers are 309, 762, 157, 723
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
GCD of numbers is the greatest common divisor
So, the GCD (309, 762, 157, 723) = 1.
Given numbers are 309, 762, 157, 723
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 762 are 2 x 3 x 127
Prime factors of 157 are 157
Prime factors of 723 are 3 x 241
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 762, 157, 723
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 762) = 78486
GCD(309, 762) = ( 309 x 762 ) / 78486
= 309 / 762
= 309
Step2:
LCM(3, 157) = 471
GCD(3, 157) = ( 3 x 157 ) / 471
= 3 / 157
= 3
Step3:
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
= 1 / 723
= 1
So, Greatest Common Divisor of 309, 762, 157, 723 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 762, 157, 723
The greatest common divisor of numbers 309, 762, 157, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 762, 157, 723 is 1.
1. What is the GCD of 309, 762, 157, 723?
GCD of given numbers 309, 762, 157, 723 is 1
2. How to calculate the greatest common divisor of 309, 762, 157, 723?
We can find the highest common divisor of 309, 762, 157, 723 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 309, 762, 157, 723 i.e 1.
3. How can I use the GCD of 309, 762, 157, 723Calculator?
Out the numbers 309, 762, 157, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.