Online GCD Calculator is useful to find the GCD of 918, 493, 688, 497 quickly. Get the easiest ways to solve the greatest common divisor of 918, 493, 688, 497 i.e 1 in different methods as follows.
Given Input numbers are 918, 493, 688, 497
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
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 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
GCD of numbers is the greatest common divisor
So, the GCD (918, 493, 688, 497) = 1.
Given numbers are 918, 493, 688, 497
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 493 are 17 x 29
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 497 are 7 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 918, 493, 688, 497
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 493) = 26622
GCD(918, 493) = ( 918 x 493 ) / 26622
= 918 / 493
= 918
Step2:
LCM(17, 688) = 11696
GCD(17, 688) = ( 17 x 688 ) / 11696
= 17 / 688
= 17
Step3:
LCM(1, 497) = 497
GCD(1, 497) = ( 1 x 497 ) / 497
= 1 / 497
= 1
So, Greatest Common Divisor of 918, 493, 688, 497 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 493, 688, 497
The greatest common divisor of numbers 918, 493, 688, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 493, 688, 497 is 1.
1. What is the GCD of 918, 493, 688, 497?
GCD of given numbers 918, 493, 688, 497 is 1
2. How to calculate the greatest common divisor of 918, 493, 688, 497?
We can find the highest common divisor of 918, 493, 688, 497 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 918, 493, 688, 497 i.e 1.
3. How can I use the GCD of 918, 493, 688, 497Calculator?
Out the numbers 918, 493, 688, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.