GCD of 296, 369, 75, 760 Calculator

Given Input numbers are 296, 369, 75, 760

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

Divisors of 296

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

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 296, 369, 75, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 369, 75, 760 is 1.

Therefore, GCD of numbers 296, 369, 75, 760 is 1

Given Input Data is 296, 369, 75, 760

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

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(296, 369) = 109224

GCD(296, 369) = ( 296 x 369 ) / 109224

GCD(296, 369) = 109224 / 109224

GCD(296, 369) = 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 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 296, 369, 75, 760 is 1

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• GCD of 411, 828, 99, 246
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• GCD of 964, 699, 76, 627

1. What is the GCD of 296, 369, 75, 760?

GCD of 296, 369, 75, 760 is 1

2. Where do I get the detailed procedure to find GCD of 296, 369, 75, 760?

You can find a detailed procedure to find GCD of 296, 369, 75, 760 on our page.

3. How to find GCD of 296, 369, 75, 760 on a calculator?

You can find the GCD of 296, 369, 75, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.