Online GCD Calculator is useful to find the GCD of 493, 342, 196, 253 quickly. Get the easiest ways to solve the greatest common divisor of 493, 342, 196, 253 i.e 1 in different methods as follows.
Given Input numbers are 493, 342, 196, 253
In the factoring method, we have to find the divisors of all numbers
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
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 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
GCD of numbers is the greatest common divisor
So, the GCD (493, 342, 196, 253) = 1.
Given numbers are 493, 342, 196, 253
The list of prime factors of all numbers are
Prime factors of 493 are 17 x 29
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 253 are 11 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 493, 342, 196, 253
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(493, 342) = 168606
GCD(493, 342) = ( 493 x 342 ) / 168606
= 493 / 342
= 493
Step2:
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
= 1 / 196
= 1
Step3:
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
= 1 / 253
= 1
So, Greatest Common Divisor of 493, 342, 196, 253 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 493, 342, 196, 253
The greatest common divisor of numbers 493, 342, 196, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 342, 196, 253 is 1.
1. What is the GCD of 493, 342, 196, 253?
GCD of given numbers 493, 342, 196, 253 is 1
2. How to calculate the greatest common divisor of 493, 342, 196, 253?
We can find the highest common divisor of 493, 342, 196, 253 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 493, 342, 196, 253 i.e 1.
3. How can I use the GCD of 493, 342, 196, 253Calculator?
Out the numbers 493, 342, 196, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.