Online GCD Calculator is useful to find the GCD of 871, 910, 135, 312 quickly. Get the easiest ways to solve the greatest common divisor of 871, 910, 135, 312 i.e 1 in different methods as follows.
Given Input numbers are 871, 910, 135, 312
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 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (871, 910, 135, 312) = 1.
Given numbers are 871, 910, 135, 312
The list of prime factors of all numbers are
Prime factors of 871 are 13 x 67
Prime factors of 910 are 2 x 5 x 7 x 13
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 871, 910, 135, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(871, 910) = 60970
GCD(871, 910) = ( 871 x 910 ) / 60970
= 871 / 910
= 871
Step2:
LCM(13, 135) = 1755
GCD(13, 135) = ( 13 x 135 ) / 1755
= 13 / 135
= 13
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 871, 910, 135, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 871, 910, 135, 312
The greatest common divisor of numbers 871, 910, 135, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 910, 135, 312 is 1.
1. What is the GCD of 871, 910, 135, 312?
GCD of given numbers 871, 910, 135, 312 is 1
2. How to calculate the greatest common divisor of 871, 910, 135, 312?
We can find the highest common divisor of 871, 910, 135, 312 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, 910, 135, 312 i.e 1.
3. How can I use the GCD of 871, 910, 135, 312Calculator?
Out the numbers 871, 910, 135, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.