Online GCD Calculator is useful to find the GCD of 313, 476, 349, 213 quickly. Get the easiest ways to solve the greatest common divisor of 313, 476, 349, 213 i.e 1 in different methods as follows.
Given Input numbers are 313, 476, 349, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (313, 476, 349, 213) = 1.
Given numbers are 313, 476, 349, 213
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 349 are 349
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 313, 476, 349, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 476) = 148988
GCD(313, 476) = ( 313 x 476 ) / 148988
= 313 / 476
= 313
Step2:
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
= 1 / 349
= 1
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 313, 476, 349, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 476, 349, 213
The greatest common divisor of numbers 313, 476, 349, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 476, 349, 213 is 1.
1. What is the GCD of 313, 476, 349, 213?
GCD of given numbers 313, 476, 349, 213 is 1
2. How to calculate the greatest common divisor of 313, 476, 349, 213?
We can find the highest common divisor of 313, 476, 349, 213 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 313, 476, 349, 213 i.e 1.
3. How can I use the GCD of 313, 476, 349, 213Calculator?
Out the numbers 313, 476, 349, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.