GCD of 749, 423, 917 Calculator

Given Input numbers are 749, 423, 917

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

Divisors of 749

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

1, 7, 107, 749

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 749, 423, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 423, 917 is 1.

Therefore, GCD of numbers 749, 423, 917 is 1

Given Input Data is 749, 423, 917

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 917 is 7 x 131

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(749, 423) = 316827

GCD(749, 423) = ( 749 x 423 ) / 316827

GCD(749, 423) = 316827 / 316827

GCD(749, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 749, 423, 917 is 1

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1. What is the GCD of 749, 423, 917?

GCD of 749, 423, 917 is 1

2. Where do I get the detailed procedure to find GCD of 749, 423, 917?

You can find a detailed procedure to find GCD of 749, 423, 917 on our page.

3. How to find GCD of 749, 423, 917 on a calculator?

You can find the GCD of 749, 423, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.