GCD of 757, 784, 18, 275 Calculator

Given Input numbers are 757, 784, 18, 275

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

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 757, 784, 18, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 784, 18, 275 is 1.

Therefore, GCD of numbers 757, 784, 18, 275 is 1

Given Input Data is 757, 784, 18, 275

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

Prime Factorization of 757 is 757

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 275 is 5 x 5 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(757, 784) = 593488

GCD(757, 784) = ( 757 x 784 ) / 593488

GCD(757, 784) = 593488 / 593488

GCD(757, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 757, 784, 18, 275 is 1

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1. What is the GCD of 757, 784, 18, 275?

GCD of 757, 784, 18, 275 is 1

2. Where do I get the detailed procedure to find GCD of 757, 784, 18, 275?

You can find a detailed procedure to find GCD of 757, 784, 18, 275 on our page.

3. How to find GCD of 757, 784, 18, 275 on a calculator?

You can find the GCD of 757, 784, 18, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.