GCD of 116, 137, 782, 899 Calculator

Given Input numbers are 116, 137, 782, 899

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 782

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

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 116, 137, 782, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 137, 782, 899 is 1.

Therefore, GCD of numbers 116, 137, 782, 899 is 1

Given Input Data is 116, 137, 782, 899

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 137 is 137

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 899 is 29 x 31

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(116, 137) = 15892

GCD(116, 137) = ( 116 x 137 ) / 15892

GCD(116, 137) = 15892 / 15892

GCD(116, 137) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 116, 137, 782, 899 is 1

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1. What is the GCD of 116, 137, 782, 899?

GCD of 116, 137, 782, 899 is 1

2. Where do I get the detailed procedure to find GCD of 116, 137, 782, 899?

You can find a detailed procedure to find GCD of 116, 137, 782, 899 on our page.

3. How to find GCD of 116, 137, 782, 899 on a calculator?

You can find the GCD of 116, 137, 782, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.