GCD of 763, 772, 77, 398 Calculator

Given Input numbers are 763, 772, 77, 398

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

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 763, 772, 77, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 772, 77, 398 is 1.

Therefore, GCD of numbers 763, 772, 77, 398 is 1

Given Input Data is 763, 772, 77, 398

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 77 is 7 x 11

Prime Factorization of 398 is 2 x 199

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(763, 772) = 589036

GCD(763, 772) = ( 763 x 772 ) / 589036

GCD(763, 772) = 589036 / 589036

GCD(763, 772) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 763, 772, 77, 398 is 1

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1. What is the GCD of 763, 772, 77, 398?

GCD of 763, 772, 77, 398 is 1

2. Where do I get the detailed procedure to find GCD of 763, 772, 77, 398?

You can find a detailed procedure to find GCD of 763, 772, 77, 398 on our page.

3. How to find GCD of 763, 772, 77, 398 on a calculator?

You can find the GCD of 763, 772, 77, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.