Online GCD Calculator is useful to find the GCD of 309, 715, 248, 488 quickly. Get the easiest ways to solve the greatest common divisor of 309, 715, 248, 488 i.e 1 in different methods as follows.
Given Input numbers are 309, 715, 248, 488
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 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
GCD of numbers is the greatest common divisor
So, the GCD (309, 715, 248, 488) = 1.
Given numbers are 309, 715, 248, 488
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 715 are 5 x 11 x 13
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 488 are 2 x 2 x 2 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 715, 248, 488
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 715) = 220935
GCD(309, 715) = ( 309 x 715 ) / 220935
= 309 / 715
= 309
Step2:
LCM(1, 248) = 248
GCD(1, 248) = ( 1 x 248 ) / 248
= 1 / 248
= 1
Step3:
LCM(1, 488) = 488
GCD(1, 488) = ( 1 x 488 ) / 488
= 1 / 488
= 1
So, Greatest Common Divisor of 309, 715, 248, 488 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 715, 248, 488
The greatest common divisor of numbers 309, 715, 248, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 715, 248, 488 is 1.
1. What is the GCD of 309, 715, 248, 488?
GCD of given numbers 309, 715, 248, 488 is 1
2. How to calculate the greatest common divisor of 309, 715, 248, 488?
We can find the highest common divisor of 309, 715, 248, 488 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, 715, 248, 488 i.e 1.
3. How can I use the GCD of 309, 715, 248, 488Calculator?
Out the numbers 309, 715, 248, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.