GCD of 749, 928, 71, 497 Calculator

Given Input numbers are 749, 928, 71, 497

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 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 749, 928, 71, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 928, 71, 497 is 1.

Therefore, GCD of numbers 749, 928, 71, 497 is 1

Given Input Data is 749, 928, 71, 497

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 71 is 71

Prime Factorization of 497 is 7 x 71

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, 928) = 695072

GCD(749, 928) = ( 749 x 928 ) / 695072

GCD(749, 928) = 695072 / 695072

GCD(749, 928) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 749, 928, 71, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 785, 98, 706
• GCD of 262, 428, 51, 728
• GCD of 195, 787, 81, 416
• GCD of 567, 690, 86, 599
• GCD of 607, 229, 10, 750

1. What is the GCD of 749, 928, 71, 497?

GCD of 749, 928, 71, 497 is 1

2. Where do I get the detailed procedure to find GCD of 749, 928, 71, 497?

You can find a detailed procedure to find GCD of 749, 928, 71, 497 on our page.

3. How to find GCD of 749, 928, 71, 497 on a calculator?

You can find the GCD of 749, 928, 71, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.