GCD of 741, 744, 57, 362 Calculator

Given Input numbers are 741, 744, 57, 362

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 741, 744, 57, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 744, 57, 362 is 1.

Therefore, GCD of numbers 741, 744, 57, 362 is 1

Given Input Data is 741, 744, 57, 362

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 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 57 is 3 x 19

Prime Factorization of 362 is 2 x 181

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, 744) = 183768

GCD(741, 744) = ( 741 x 744 ) / 183768

GCD(741, 744) = 551304 / 183768

GCD(741, 744) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 362

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

LCM(3, 362) = 1086

GCD(3, 362) = ( 3 x 362 ) / 1086

GCD(3, 362) = 1086 / 1086

GCD(3, 362) = 1

GCD of 741, 744, 57, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 959, 58, 370
• GCD of 751, 466, 21, 597
• GCD of 853, 505, 20, 637
• GCD of 884, 994, 91, 902
• GCD of 486, 791, 20, 216

1. What is the GCD of 741, 744, 57, 362?

GCD of 741, 744, 57, 362 is 1

2. Where do I get the detailed procedure to find GCD of 741, 744, 57, 362?

You can find a detailed procedure to find GCD of 741, 744, 57, 362 on our page.

3. How to find GCD of 741, 744, 57, 362 on a calculator?

You can find the GCD of 741, 744, 57, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.