Online GCD Calculator is useful to find the GCD of 521, 196, 313, 998 quickly. Get the easiest ways to solve the greatest common divisor of 521, 196, 313, 998 i.e 1 in different methods as follows.
Given Input numbers are 521, 196, 313, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 521 :
The positive integer divisors of 521 that completely divides 521 are.
1, 521
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (521, 196, 313, 998) = 1.
Given numbers are 521, 196, 313, 998
The list of prime factors of all numbers are
Prime factors of 521 are 521
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 313 are 313
Prime factors of 998 are 2 x 499
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 521, 196, 313, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(521, 196) = 102116
GCD(521, 196) = ( 521 x 196 ) / 102116
= 521 / 196
= 521
Step2:
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
= 1 / 313
= 1
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 521, 196, 313, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 521, 196, 313, 998
The greatest common divisor of numbers 521, 196, 313, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 521, 196, 313, 998 is 1.
1. What is the GCD of 521, 196, 313, 998?
GCD of given numbers 521, 196, 313, 998 is 1
2. How to calculate the greatest common divisor of 521, 196, 313, 998?
We can find the highest common divisor of 521, 196, 313, 998 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 521, 196, 313, 998 i.e 1.
3. How can I use the GCD of 521, 196, 313, 998Calculator?
Out the numbers 521, 196, 313, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.