GCD of 78, 370, 443, 269 Calculator

Given Input numbers are 78, 370, 443, 269

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 78, 370, 443, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 370, 443, 269 is 1.

Therefore, GCD of numbers 78, 370, 443, 269 is 1

Given Input Data is 78, 370, 443, 269

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 370 is 2 x 5 x 37

Prime Factorization of 443 is 443

Prime Factorization of 269 is 269

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, 370) = 14430

GCD(78, 370) = ( 78 x 370 ) / 14430

GCD(78, 370) = 28860 / 14430

GCD(78, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 443

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

LCM(2, 443) = 886

GCD(2, 443) = ( 2 x 443 ) / 886

GCD(2, 443) = 886 / 886

GCD(2, 443) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 78, 370, 443, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 670, 735, 995
• GCD of 17, 584, 445, 597
• GCD of 55, 131, 363, 716
• GCD of 17, 885, 976, 273
• GCD of 38, 775, 148, 117

1. What is the GCD of 78, 370, 443, 269?

GCD of 78, 370, 443, 269 is 1

2. Where do I get the detailed procedure to find GCD of 78, 370, 443, 269?

You can find a detailed procedure to find GCD of 78, 370, 443, 269 on our page.

3. How to find GCD of 78, 370, 443, 269 on a calculator?

You can find the GCD of 78, 370, 443, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.