GCD of 91, 561, 102, 782 Calculator

Given Input numbers are 91, 561, 102, 782

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 91, 561, 102, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 561, 102, 782 is 1.

Therefore, GCD of numbers 91, 561, 102, 782 is 1

Given Input Data is 91, 561, 102, 782

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 782 is 2 x 17 x 23

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, 561) = 51051

GCD(91, 561) = ( 91 x 561 ) / 51051

GCD(91, 561) = 51051 / 51051

GCD(91, 561) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 91, 561, 102, 782 is 1

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1. What is the GCD of 91, 561, 102, 782?

GCD of 91, 561, 102, 782 is 1

2. Where do I get the detailed procedure to find GCD of 91, 561, 102, 782?

You can find a detailed procedure to find GCD of 91, 561, 102, 782 on our page.

3. How to find GCD of 91, 561, 102, 782 on a calculator?

You can find the GCD of 91, 561, 102, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.