GCD of 91, 741, 858, 689 Calculator

Given Input numbers are 91, 741, 858, 689

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 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 91, 741, 858, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 741, 858, 689 is 13.

Therefore, GCD of numbers 91, 741, 858, 689 is 13

Given Input Data is 91, 741, 858, 689

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 689 is 13 x 53

Highest common occurrences in the given inputs are 13¹

Multiplying them we get the GCD as 13

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, 741) = 5187

GCD(91, 741) = ( 91 x 741 ) / 5187

GCD(91, 741) = 67431 / 5187

GCD(91, 741) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 858

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

LCM(13, 858) = 858

GCD(13, 858) = ( 13 x 858 ) / 858

GCD(13, 858) = 11154 / 858

GCD(13, 858) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 689

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

LCM(13, 689) = 689

GCD(13, 689) = ( 13 x 689 ) / 689

GCD(13, 689) = 8957 / 689

GCD(13, 689) = 13

GCD of 91, 741, 858, 689 is 13

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 784, 409, 380
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• GCD of 37, 915, 877, 816

1. What is the GCD of 91, 741, 858, 689?

GCD of 91, 741, 858, 689 is 13

2. Where do I get the detailed procedure to find GCD of 91, 741, 858, 689?

You can find a detailed procedure to find GCD of 91, 741, 858, 689 on our page.

3. How to find GCD of 91, 741, 858, 689 on a calculator?

You can find the GCD of 91, 741, 858, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.