GCD of 383, 760, 917, 748 Calculator

Given Input numbers are 383, 760, 917, 748

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

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 917

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

1, 7, 131, 917

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 383, 760, 917, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 383, 760, 917, 748 is 1.

Therefore, GCD of numbers 383, 760, 917, 748 is 1

Given Input Data is 383, 760, 917, 748

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

Prime Factorization of 383 is 383

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 917 is 7 x 131

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(383, 760) = 291080

GCD(383, 760) = ( 383 x 760 ) / 291080

GCD(383, 760) = 291080 / 291080

GCD(383, 760) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 383, 760, 917, 748 is 1

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1. What is the GCD of 383, 760, 917, 748?

GCD of 383, 760, 917, 748 is 1

2. Where do I get the detailed procedure to find GCD of 383, 760, 917, 748?

You can find a detailed procedure to find GCD of 383, 760, 917, 748 on our page.

3. How to find GCD of 383, 760, 917, 748 on a calculator?

You can find the GCD of 383, 760, 917, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.