Online GCD Calculator is useful to find the GCD of 362, 870, 871 quickly. Get the easiest ways to solve the greatest common divisor of 362, 870, 871 i.e 1 in different methods as follows.
Given Input numbers are 362, 870, 871
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
GCD of numbers is the greatest common divisor
So, the GCD (362, 870, 871) = 1.
Given numbers are 362, 870, 871
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 871 are 13 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 362, 870, 871
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 870) = 157470
GCD(362, 870) = ( 362 x 870 ) / 157470
= 362 / 870
= 362
Step2:
LCM(2, 871) = 1742
GCD(2, 871) = ( 2 x 871 ) / 1742
= 2 / 871
= 2
So, Greatest Common Divisor of 362, 870, 871 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 870, 871
The greatest common divisor of numbers 362, 870, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 870, 871 is 1.
1. What is the GCD of 362, 870, 871?
GCD of given numbers 362, 870, 871 is 1
2. How to calculate the greatest common divisor of 362, 870, 871?
We can find the highest common divisor of 362, 870, 871 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 362, 870, 871 i.e 1.
3. How can I use the GCD of 362, 870, 871Calculator?
Out the numbers 362, 870, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.