GCD of 708, 741, 763, 310 Calculator

Given Input numbers are 708, 741, 763, 310

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 763

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

1, 7, 109, 763

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 708, 741, 763, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 741, 763, 310 is 1.

Therefore, GCD of numbers 708, 741, 763, 310 is 1

Given Input Data is 708, 741, 763, 310

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 763 is 7 x 109

Prime Factorization of 310 is 2 x 5 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(708, 741) = 174876

GCD(708, 741) = ( 708 x 741 ) / 174876

GCD(708, 741) = 524628 / 174876

GCD(708, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 763

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

LCM(3, 763) = 2289

GCD(3, 763) = ( 3 x 763 ) / 2289

GCD(3, 763) = 2289 / 2289

GCD(3, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 708, 741, 763, 310 is 1

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• GCD of 974, 513, 161, 369

1. What is the GCD of 708, 741, 763, 310?

GCD of 708, 741, 763, 310 is 1

2. Where do I get the detailed procedure to find GCD of 708, 741, 763, 310?

You can find a detailed procedure to find GCD of 708, 741, 763, 310 on our page.

3. How to find GCD of 708, 741, 763, 310 on a calculator?

You can find the GCD of 708, 741, 763, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.