Online GCD Calculator is useful to find the GCD of 421, 143, 169, 313 quickly. Get the easiest ways to solve the greatest common divisor of 421, 143, 169, 313 i.e 1 in different methods as follows.
Given Input numbers are 421, 143, 169, 313
In the factoring method, we have to find the divisors of all numbers
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (421, 143, 169, 313) = 1.
Given numbers are 421, 143, 169, 313
The list of prime factors of all numbers are
Prime factors of 421 are 421
Prime factors of 143 are 11 x 13
Prime factors of 169 are 13 x 13
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 421, 143, 169, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(421, 143) = 60203
GCD(421, 143) = ( 421 x 143 ) / 60203
= 421 / 143
= 421
Step2:
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
= 1 / 169
= 1
Step3:
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
= 1 / 313
= 1
So, Greatest Common Divisor of 421, 143, 169, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 421, 143, 169, 313
The greatest common divisor of numbers 421, 143, 169, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 143, 169, 313 is 1.
1. What is the GCD of 421, 143, 169, 313?
GCD of given numbers 421, 143, 169, 313 is 1
2. How to calculate the greatest common divisor of 421, 143, 169, 313?
We can find the highest common divisor of 421, 143, 169, 313 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 421, 143, 169, 313 i.e 1.
3. How can I use the GCD of 421, 143, 169, 313Calculator?
Out the numbers 421, 143, 169, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.