GCD of 782, 722, 94, 745 Calculator

Given Input numbers are 782, 722, 94, 745

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 782, 722, 94, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 722, 94, 745 is 1.

Therefore, GCD of numbers 782, 722, 94, 745 is 1

Given Input Data is 782, 722, 94, 745

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 94 is 2 x 47

Prime Factorization of 745 is 5 x 149

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(782, 722) = 282302

GCD(782, 722) = ( 782 x 722 ) / 282302

GCD(782, 722) = 564604 / 282302

GCD(782, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 94

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

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

GCD(2, 94) = 188 / 94

GCD(2, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 745

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

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

GCD(2, 745) = 1490 / 1490

GCD(2, 745) = 1

GCD of 782, 722, 94, 745 is 1

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1. What is the GCD of 782, 722, 94, 745?

GCD of 782, 722, 94, 745 is 1

2. Where do I get the detailed procedure to find GCD of 782, 722, 94, 745?

You can find a detailed procedure to find GCD of 782, 722, 94, 745 on our page.

3. How to find GCD of 782, 722, 94, 745 on a calculator?

You can find the GCD of 782, 722, 94, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.