Online GCD Calculator is useful to find the GCD of 871, 465, 341, 721 quickly. Get the easiest ways to solve the greatest common divisor of 871, 465, 341, 721 i.e 1 in different methods as follows.
Given Input numbers are 871, 465, 341, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (871, 465, 341, 721) = 1.
Given numbers are 871, 465, 341, 721
The list of prime factors of all numbers are
Prime factors of 871 are 13 x 67
Prime factors of 465 are 3 x 5 x 31
Prime factors of 341 are 11 x 31
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 871, 465, 341, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(871, 465) = 405015
GCD(871, 465) = ( 871 x 465 ) / 405015
= 871 / 465
= 871
Step2:
LCM(1, 341) = 341
GCD(1, 341) = ( 1 x 341 ) / 341
= 1 / 341
= 1
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 871, 465, 341, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 871, 465, 341, 721
The greatest common divisor of numbers 871, 465, 341, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 465, 341, 721 is 1.
1. What is the GCD of 871, 465, 341, 721?
GCD of given numbers 871, 465, 341, 721 is 1
2. How to calculate the greatest common divisor of 871, 465, 341, 721?
We can find the highest common divisor of 871, 465, 341, 721 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 871, 465, 341, 721 i.e 1.
3. How can I use the GCD of 871, 465, 341, 721Calculator?
Out the numbers 871, 465, 341, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.