Online GCD Calculator is useful to find the GCD of 749, 487, 350, 309 quickly. Get the easiest ways to solve the greatest common divisor of 749, 487, 350, 309 i.e 1 in different methods as follows.
Given Input numbers are 749, 487, 350, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 487 :
The positive integer divisors of 487 that completely divides 487 are.
1, 487
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (749, 487, 350, 309) = 1.
Given numbers are 749, 487, 350, 309
The list of prime factors of all numbers are
Prime factors of 749 are 7 x 107
Prime factors of 487 are 487
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 749, 487, 350, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(749, 487) = 364763
GCD(749, 487) = ( 749 x 487 ) / 364763
= 749 / 487
= 749
Step2:
LCM(1, 350) = 350
GCD(1, 350) = ( 1 x 350 ) / 350
= 1 / 350
= 1
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 749, 487, 350, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 749, 487, 350, 309
The greatest common divisor of numbers 749, 487, 350, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 487, 350, 309 is 1.
1. What is the GCD of 749, 487, 350, 309?
GCD of given numbers 749, 487, 350, 309 is 1
2. How to calculate the greatest common divisor of 749, 487, 350, 309?
We can find the highest common divisor of 749, 487, 350, 309 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 749, 487, 350, 309 i.e 1.
3. How can I use the GCD of 749, 487, 350, 309Calculator?
Out the numbers 749, 487, 350, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.