GCD of 805, 965, 112, 361 Calculator

Given Input numbers are 805, 965, 112, 361

In the factoring method, we have to find the divisors of all numbers

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (805, 965, 112, 361) = 1.

Given numbers are 805, 965, 112, 361

The list of prime factors of all numbers are

Prime factors of 805 are 5 x 7 x 23

Prime factors of 965 are 5 x 193

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 361 are 19 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 805, 965, 112, 361

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(805, 965) = 155365

GCD(805, 965) = ( 805 x 965 ) / 155365

= 805 / 965

= 805

Step2:

LCM(5, 112) = 560

GCD(5, 112) = ( 5 x 112 ) / 560

= 5 / 112

= 5

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 805, 965, 112, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 154, 974, 780
• GCD of 204, 498, 288, 956
• GCD of 966, 728, 913, 709
• GCD of 828, 680, 723, 376
• GCD of 449, 216, 748, 112

Given numbers are 805, 965, 112, 361
The greatest common divisor of numbers 805, 965, 112, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 805, 965, 112, 361 is 1.

1. What is the GCD of 805, 965, 112, 361?

GCD of given numbers 805, 965, 112, 361 is 1

2. How to calculate the greatest common divisor of 805, 965, 112, 361?

We can find the highest common divisor of 805, 965, 112, 361 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 805, 965, 112, 361 i.e 1.

3. How can I use the GCD of 805, 965, 112, 361Calculator?

Out the numbers 805, 965, 112, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.