GCD of 742, 710, 52, 913 Calculator

Given Input numbers are 742, 710, 52, 913

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 742, 710, 52, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 710, 52, 913 is 1.

Therefore, GCD of numbers 742, 710, 52, 913 is 1

Given Input Data is 742, 710, 52, 913

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 913 is 11 x 83

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(742, 710) = 263410

GCD(742, 710) = ( 742 x 710 ) / 263410

GCD(742, 710) = 526820 / 263410

GCD(742, 710) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 913

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

LCM(2, 913) = 1826

GCD(2, 913) = ( 2 x 913 ) / 1826

GCD(2, 913) = 1826 / 1826

GCD(2, 913) = 1

GCD of 742, 710, 52, 913 is 1

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1. What is the GCD of 742, 710, 52, 913?

GCD of 742, 710, 52, 913 is 1

2. Where do I get the detailed procedure to find GCD of 742, 710, 52, 913?

You can find a detailed procedure to find GCD of 742, 710, 52, 913 on our page.

3. How to find GCD of 742, 710, 52, 913 on a calculator?

You can find the GCD of 742, 710, 52, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.