GCD of 741, 465, 28, 385 Calculator

Given Input numbers are 741, 465, 28, 385

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 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 741, 465, 28, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 465, 28, 385 is 1.

Therefore, GCD of numbers 741, 465, 28, 385 is 1

Given Input Data is 741, 465, 28, 385

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 465 is 3 x 5 x 31

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 385 is 5 x 7 x 11

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, 465) = 114855

GCD(741, 465) = ( 741 x 465 ) / 114855

GCD(741, 465) = 344565 / 114855

GCD(741, 465) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 28

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

LCM(3, 28) = 84

GCD(3, 28) = ( 3 x 28 ) / 84

GCD(3, 28) = 84 / 84

GCD(3, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 741, 465, 28, 385 is 1

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• GCD of 818, 375, 55, 110
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• GCD of 694, 627, 26, 888

1. What is the GCD of 741, 465, 28, 385?

GCD of 741, 465, 28, 385 is 1

2. Where do I get the detailed procedure to find GCD of 741, 465, 28, 385?

You can find a detailed procedure to find GCD of 741, 465, 28, 385 on our page.

3. How to find GCD of 741, 465, 28, 385 on a calculator?

You can find the GCD of 741, 465, 28, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.