GCD of 741, 695, 23, 749 Calculator

Given Input numbers are 741, 695, 23, 749

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 749

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

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 741, 695, 23, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 695, 23, 749 is 1.

Therefore, GCD of numbers 741, 695, 23, 749 is 1

Given Input Data is 741, 695, 23, 749

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 695 is 5 x 139

Prime Factorization of 23 is 23

Prime Factorization of 749 is 7 x 107

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(741, 695) = 514995

GCD(741, 695) = ( 741 x 695 ) / 514995

GCD(741, 695) = 514995 / 514995

GCD(741, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

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

GCD of 741, 695, 23, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 819, 19, 191
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• GCD of 285, 342, 24, 514
• GCD of 144, 875, 81, 457
• GCD of 825, 441, 83, 549

1. What is the GCD of 741, 695, 23, 749?

GCD of 741, 695, 23, 749 is 1

2. Where do I get the detailed procedure to find GCD of 741, 695, 23, 749?

You can find a detailed procedure to find GCD of 741, 695, 23, 749 on our page.

3. How to find GCD of 741, 695, 23, 749 on a calculator?

You can find the GCD of 741, 695, 23, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.