GCD of 78, 762, 740, 163 Calculator

Given Input numbers are 78, 762, 740, 163

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

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 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Greatest Common Divisior

We found the divisors of 78, 762, 740, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 762, 740, 163 is 1.

Therefore, GCD of numbers 78, 762, 740, 163 is 1

Given Input Data is 78, 762, 740, 163

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 163 is 163

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(78, 762) = 9906

GCD(78, 762) = ( 78 x 762 ) / 9906

GCD(78, 762) = 59436 / 9906

GCD(78, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 740

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

LCM(6, 740) = 2220

GCD(6, 740) = ( 6 x 740 ) / 2220

GCD(6, 740) = 4440 / 2220

GCD(6, 740) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 163

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

LCM(2, 163) = 326

GCD(2, 163) = ( 2 x 163 ) / 326

GCD(2, 163) = 326 / 326

GCD(2, 163) = 1

GCD of 78, 762, 740, 163 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 769, 750, 643
• GCD of 81, 971, 392, 234
• GCD of 55, 365, 963, 466
• GCD of 79, 482, 652, 956
• GCD of 71, 363, 660, 683

1. What is the GCD of 78, 762, 740, 163?

GCD of 78, 762, 740, 163 is 1

2. Where do I get the detailed procedure to find GCD of 78, 762, 740, 163?

You can find a detailed procedure to find GCD of 78, 762, 740, 163 on our page.

3. How to find GCD of 78, 762, 740, 163 on a calculator?

You can find the GCD of 78, 762, 740, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.