Online GCD Calculator is useful to find the GCD of 998, 693, 406, 520 quickly. Get the easiest ways to solve the greatest common divisor of 998, 693, 406, 520 i.e 1 in different methods as follows.
Given Input numbers are 998, 693, 406, 520
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
GCD of numbers is the greatest common divisor
So, the GCD (998, 693, 406, 520) = 1.
Given numbers are 998, 693, 406, 520
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 406 are 2 x 7 x 29
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 693, 406, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 693) = 691614
GCD(998, 693) = ( 998 x 693 ) / 691614
= 998 / 693
= 998
Step2:
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
= 1 / 406
= 1
Step3:
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
= 1 / 520
= 1
So, Greatest Common Divisor of 998, 693, 406, 520 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 693, 406, 520
The greatest common divisor of numbers 998, 693, 406, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 693, 406, 520 is 1.
1. What is the GCD of 998, 693, 406, 520?
GCD of given numbers 998, 693, 406, 520 is 1
2. How to calculate the greatest common divisor of 998, 693, 406, 520?
We can find the highest common divisor of 998, 693, 406, 520 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 998, 693, 406, 520 i.e 1.
3. How can I use the GCD of 998, 693, 406, 520Calculator?
Out the numbers 998, 693, 406, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.