GCD of 491, 799, 749, 356 Calculator

Given Input numbers are 491, 799, 749, 356

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 491, 799, 749, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 799, 749, 356 is 1.

Therefore, GCD of numbers 491, 799, 749, 356 is 1

Given Input Data is 491, 799, 749, 356

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

Prime Factorization of 491 is 491

Prime Factorization of 799 is 17 x 47

Prime Factorization of 749 is 7 x 107

Prime Factorization of 356 is 2 x 2 x 89

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, 799) = 392309

GCD(491, 799) = ( 491 x 799 ) / 392309

GCD(491, 799) = 392309 / 392309

GCD(491, 799) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 491, 799, 749, 356 is 1

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1. What is the GCD of 491, 799, 749, 356?

GCD of 491, 799, 749, 356 is 1

2. Where do I get the detailed procedure to find GCD of 491, 799, 749, 356?

You can find a detailed procedure to find GCD of 491, 799, 749, 356 on our page.

3. How to find GCD of 491, 799, 749, 356 on a calculator?

You can find the GCD of 491, 799, 749, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.