Online GCD Calculator is useful to find the GCD of 105, 862, 316, 267 quickly. Get the easiest ways to solve the greatest common divisor of 105, 862, 316, 267 i.e 1 in different methods as follows.
Given Input numbers are 105, 862, 316, 267
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
GCD of numbers is the greatest common divisor
So, the GCD (105, 862, 316, 267) = 1.
Given numbers are 105, 862, 316, 267
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 862 are 2 x 431
Prime factors of 316 are 2 x 2 x 79
Prime factors of 267 are 3 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 862, 316, 267
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 862) = 90510
GCD(105, 862) = ( 105 x 862 ) / 90510
= 105 / 862
= 105
Step2:
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
= 1 / 316
= 1
Step3:
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
= 1 / 267
= 1
So, Greatest Common Divisor of 105, 862, 316, 267 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 862, 316, 267
The greatest common divisor of numbers 105, 862, 316, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 862, 316, 267 is 1.
1. What is the GCD of 105, 862, 316, 267?
GCD of given numbers 105, 862, 316, 267 is 1
2. How to calculate the greatest common divisor of 105, 862, 316, 267?
We can find the highest common divisor of 105, 862, 316, 267 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 105, 862, 316, 267 i.e 1.
3. How can I use the GCD of 105, 862, 316, 267Calculator?
Out the numbers 105, 862, 316, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.