Online GCD Calculator is useful to find the GCD of 680, 709, 493, 648 quickly. Get the easiest ways to solve the greatest common divisor of 680, 709, 493, 648 i.e 1 in different methods as follows.
Given Input numbers are 680, 709, 493, 648
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (680, 709, 493, 648) = 1.
Given numbers are 680, 709, 493, 648
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 709 are 709
Prime factors of 493 are 17 x 29
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 709, 493, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 709) = 482120
GCD(680, 709) = ( 680 x 709 ) / 482120
= 680 / 709
= 680
Step2:
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
= 1 / 493
= 1
Step3:
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
= 1 / 648
= 1
So, Greatest Common Divisor of 680, 709, 493, 648 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 709, 493, 648
The greatest common divisor of numbers 680, 709, 493, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 709, 493, 648 is 1.
1. What is the GCD of 680, 709, 493, 648?
GCD of given numbers 680, 709, 493, 648 is 1
2. How to calculate the greatest common divisor of 680, 709, 493, 648?
We can find the highest common divisor of 680, 709, 493, 648 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 680, 709, 493, 648 i.e 1.
3. How can I use the GCD of 680, 709, 493, 648Calculator?
Out the numbers 680, 709, 493, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.