GCD of 991, 677, 18, 341 Calculator

Given Input numbers are 991, 677, 18, 341

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 991, 677, 18, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 677, 18, 341 is 1.

Therefore, GCD of numbers 991, 677, 18, 341 is 1

Given Input Data is 991, 677, 18, 341

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

Prime Factorization of 991 is 991

Prime Factorization of 677 is 677

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 341 is 11 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(991, 677) = 670907

GCD(991, 677) = ( 991 x 677 ) / 670907

GCD(991, 677) = 670907 / 670907

GCD(991, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 991, 677, 18, 341 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 222, 92, 264
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• GCD of 172, 387, 30, 373
• GCD of 343, 616, 16, 241
• GCD of 823, 579, 48, 674

1. What is the GCD of 991, 677, 18, 341?

GCD of 991, 677, 18, 341 is 1

2. Where do I get the detailed procedure to find GCD of 991, 677, 18, 341?

You can find a detailed procedure to find GCD of 991, 677, 18, 341 on our page.

3. How to find GCD of 991, 677, 18, 341 on a calculator?

You can find the GCD of 991, 677, 18, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.