Online GCD Calculator is useful to find the GCD of 871, 584, 585, 357 quickly. Get the easiest ways to solve the greatest common divisor of 871, 584, 585, 357 i.e 1 in different methods as follows.
Given Input numbers are 871, 584, 585, 357
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 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (871, 584, 585, 357) = 1.
Given numbers are 871, 584, 585, 357
The list of prime factors of all numbers are
Prime factors of 871 are 13 x 67
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 357 are 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 871, 584, 585, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(871, 584) = 508664
GCD(871, 584) = ( 871 x 584 ) / 508664
= 871 / 584
= 871
Step2:
LCM(1, 585) = 585
GCD(1, 585) = ( 1 x 585 ) / 585
= 1 / 585
= 1
Step3:
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
= 1 / 357
= 1
So, Greatest Common Divisor of 871, 584, 585, 357 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 871, 584, 585, 357
The greatest common divisor of numbers 871, 584, 585, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 584, 585, 357 is 1.
1. What is the GCD of 871, 584, 585, 357?
GCD of given numbers 871, 584, 585, 357 is 1
2. How to calculate the greatest common divisor of 871, 584, 585, 357?
We can find the highest common divisor of 871, 584, 585, 357 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, 584, 585, 357 i.e 1.
3. How can I use the GCD of 871, 584, 585, 357Calculator?
Out the numbers 871, 584, 585, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.