GCD of 491, 345, 37, 874 Calculator

Given Input numbers are 491, 345, 37, 874

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 491, 345, 37, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 345, 37, 874 is 1.

Therefore, GCD of numbers 491, 345, 37, 874 is 1

Given Input Data is 491, 345, 37, 874

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

Prime Factorization of 491 is 491

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 37 is 37

Prime Factorization of 874 is 2 x 19 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(491, 345) = 169395

GCD(491, 345) = ( 491 x 345 ) / 169395

GCD(491, 345) = 169395 / 169395

GCD(491, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 491, 345, 37, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 276, 18, 578
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• GCD of 897, 248, 74, 354
• GCD of 507, 643, 54, 691
• GCD of 300, 345, 64, 949

1. What is the GCD of 491, 345, 37, 874?

GCD of 491, 345, 37, 874 is 1

2. Where do I get the detailed procedure to find GCD of 491, 345, 37, 874?

You can find a detailed procedure to find GCD of 491, 345, 37, 874 on our page.

3. How to find GCD of 491, 345, 37, 874 on a calculator?

You can find the GCD of 491, 345, 37, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.