Online GCD Calculator is useful to find the GCD of 105, 813, 142, 353 quickly. Get the easiest ways to solve the greatest common divisor of 105, 813, 142, 353 i.e 1 in different methods as follows.
Given Input numbers are 105, 813, 142, 353
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
GCD of numbers is the greatest common divisor
So, the GCD (105, 813, 142, 353) = 1.
Given numbers are 105, 813, 142, 353
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 813 are 3 x 271
Prime factors of 142 are 2 x 71
Prime factors of 353 are 353
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 813, 142, 353
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 813) = 28455
GCD(105, 813) = ( 105 x 813 ) / 28455
= 105 / 813
= 105
Step2:
LCM(3, 142) = 426
GCD(3, 142) = ( 3 x 142 ) / 426
= 3 / 142
= 3
Step3:
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
= 1 / 353
= 1
So, Greatest Common Divisor of 105, 813, 142, 353 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 813, 142, 353
The greatest common divisor of numbers 105, 813, 142, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 813, 142, 353 is 1.
1. What is the GCD of 105, 813, 142, 353?
GCD of given numbers 105, 813, 142, 353 is 1
2. How to calculate the greatest common divisor of 105, 813, 142, 353?
We can find the highest common divisor of 105, 813, 142, 353 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 105, 813, 142, 353 i.e 1.
3. How can I use the GCD of 105, 813, 142, 353Calculator?
Out the numbers 105, 813, 142, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.