Online GCD Calculator is useful to find the GCD of 688, 750, 309, 484 quickly. Get the easiest ways to solve the greatest common divisor of 688, 750, 309, 484 i.e 1 in different methods as follows.
Given Input numbers are 688, 750, 309, 484
In the factoring method, we have to find the divisors of all numbers
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (688, 750, 309, 484) = 1.
Given numbers are 688, 750, 309, 484
The list of prime factors of all numbers are
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 309 are 3 x 103
Prime factors of 484 are 2 x 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 688, 750, 309, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 750) = 258000
GCD(688, 750) = ( 688 x 750 ) / 258000
= 688 / 750
= 688
Step2:
LCM(2, 309) = 618
GCD(2, 309) = ( 2 x 309 ) / 618
= 2 / 309
= 2
Step3:
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
= 1 / 484
= 1
So, Greatest Common Divisor of 688, 750, 309, 484 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 750, 309, 484
The greatest common divisor of numbers 688, 750, 309, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 750, 309, 484 is 1.
1. What is the GCD of 688, 750, 309, 484?
GCD of given numbers 688, 750, 309, 484 is 1
2. How to calculate the greatest common divisor of 688, 750, 309, 484?
We can find the highest common divisor of 688, 750, 309, 484 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 688, 750, 309, 484 i.e 1.
3. How can I use the GCD of 688, 750, 309, 484Calculator?
Out the numbers 688, 750, 309, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.