GCD of 739, 945, 75, 296 Calculator

Given Input numbers are 739, 945, 75, 296

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

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 739, 945, 75, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 945, 75, 296 is 1.

Therefore, GCD of numbers 739, 945, 75, 296 is 1

Given Input Data is 739, 945, 75, 296

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

Prime Factorization of 739 is 739

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(739, 945) = 698355

GCD(739, 945) = ( 739 x 945 ) / 698355

GCD(739, 945) = 698355 / 698355

GCD(739, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 739, 945, 75, 296 is 1

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• GCD of 605, 287, 39, 247
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1. What is the GCD of 739, 945, 75, 296?

GCD of 739, 945, 75, 296 is 1

2. Where do I get the detailed procedure to find GCD of 739, 945, 75, 296?

You can find a detailed procedure to find GCD of 739, 945, 75, 296 on our page.

3. How to find GCD of 739, 945, 75, 296 on a calculator?

You can find the GCD of 739, 945, 75, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.