GCD of 967, 892, 862, 205 Calculator

Given Input numbers are 967, 892, 862, 205

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 967, 892, 862, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 892, 862, 205 is 1.

Therefore, GCD of numbers 967, 892, 862, 205 is 1

Given Input Data is 967, 892, 862, 205

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 967 is 967

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 862 is 2 x 431

Prime Factorization of 205 is 5 x 41

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(967, 892) = 862564

GCD(967, 892) = ( 967 x 892 ) / 862564

GCD(967, 892) = 862564 / 862564

GCD(967, 892) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 862

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

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

GCD(1, 862) = 862 / 862

GCD(1, 862) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 967, 892, 862, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 546, 443, 190
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• GCD of 870, 127, 317, 376

1. What is the GCD of 967, 892, 862, 205?

GCD of 967, 892, 862, 205 is 1

2. Where do I get the detailed procedure to find GCD of 967, 892, 862, 205?

You can find a detailed procedure to find GCD of 967, 892, 862, 205 on our page.

3. How to find GCD of 967, 892, 862, 205 on a calculator?

You can find the GCD of 967, 892, 862, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.