Online GCD Calculator is useful to find the GCD of 497, 213, 998 quickly. Get the easiest ways to solve the greatest common divisor of 497, 213, 998 i.e 1 in different methods as follows.
Given Input numbers are 497, 213, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
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 (497, 213, 998) = 1.
Given numbers are 497, 213, 998
The list of prime factors of all numbers are
Prime factors of 497 are 7 x 71
Prime factors of 213 are 3 x 71
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 497, 213, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(497, 213) = 1491
GCD(497, 213) = ( 497 x 213 ) / 1491
= 497 / 213
= 497
Step2:
LCM(71, 998) = 70858
GCD(71, 998) = ( 71 x 998 ) / 70858
= 71 / 998
= 71
So, Greatest Common Divisor of 497, 213, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 497, 213, 998
The greatest common divisor of numbers 497, 213, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 213, 998 is 1.
1. What is the GCD of 497, 213, 998?
GCD of given numbers 497, 213, 998 is 1
2. How to calculate the greatest common divisor of 497, 213, 998?
We can find the highest common divisor of 497, 213, 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 497, 213, 998 i.e 1.
3. How can I use the GCD of 497, 213, 998Calculator?
Out the numbers 497, 213, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.