GCD of 760, 199, 78, 744 Calculator

Given Input numbers are 760, 199, 78, 744

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

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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

Greatest Common Divisior

We found the divisors of 760, 199, 78, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 199, 78, 744 is 1.

Therefore, GCD of numbers 760, 199, 78, 744 is 1

Given Input Data is 760, 199, 78, 744

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

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

Prime Factorization of 199 is 199

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(760, 199) = 151240

GCD(760, 199) = ( 760 x 199 ) / 151240

GCD(760, 199) = 151240 / 151240

GCD(760, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 760, 199, 78, 744 is 1

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1. What is the GCD of 760, 199, 78, 744?

GCD of 760, 199, 78, 744 is 1

2. Where do I get the detailed procedure to find GCD of 760, 199, 78, 744?

You can find a detailed procedure to find GCD of 760, 199, 78, 744 on our page.

3. How to find GCD of 760, 199, 78, 744 on a calculator?

You can find the GCD of 760, 199, 78, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.