GCD of 760, 713, 605, 706 Calculator

Given Input numbers are 760, 713, 605, 706

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 760, 713, 605, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 713, 605, 706 is 1.

Therefore, GCD of numbers 760, 713, 605, 706 is 1

Given Input Data is 760, 713, 605, 706

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 713 is 23 x 31

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 706 is 2 x 353

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, 713) = 541880

GCD(760, 713) = ( 760 x 713 ) / 541880

GCD(760, 713) = 541880 / 541880

GCD(760, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 760, 713, 605, 706 is 1

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1. What is the GCD of 760, 713, 605, 706?

GCD of 760, 713, 605, 706 is 1

2. Where do I get the detailed procedure to find GCD of 760, 713, 605, 706?

You can find a detailed procedure to find GCD of 760, 713, 605, 706 on our page.

3. How to find GCD of 760, 713, 605, 706 on a calculator?

You can find the GCD of 760, 713, 605, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.