GCD of 91, 287, 784, 167 Calculator

Given Input numbers are 91, 287, 784, 167

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 91, 287, 784, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 287, 784, 167 is 1.

Therefore, GCD of numbers 91, 287, 784, 167 is 1

Given Input Data is 91, 287, 784, 167

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 287 is 7 x 41

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 167 is 167

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(91, 287) = 3731

GCD(91, 287) = ( 91 x 287 ) / 3731

GCD(91, 287) = 26117 / 3731

GCD(91, 287) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 784

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

LCM(7, 784) = 784

GCD(7, 784) = ( 7 x 784 ) / 784

GCD(7, 784) = 5488 / 784

GCD(7, 784) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 167

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

LCM(7, 167) = 1169

GCD(7, 167) = ( 7 x 167 ) / 1169

GCD(7, 167) = 1169 / 1169

GCD(7, 167) = 1

GCD of 91, 287, 784, 167 is 1

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1. What is the GCD of 91, 287, 784, 167?

GCD of 91, 287, 784, 167 is 1

2. Where do I get the detailed procedure to find GCD of 91, 287, 784, 167?

You can find a detailed procedure to find GCD of 91, 287, 784, 167 on our page.

3. How to find GCD of 91, 287, 784, 167 on a calculator?

You can find the GCD of 91, 287, 784, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.