GCD of 78, 302, 575, 785 Calculator

Given Input numbers are 78, 302, 575, 785

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 78, 302, 575, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 302, 575, 785 is 1.

Therefore, GCD of numbers 78, 302, 575, 785 is 1

Given Input Data is 78, 302, 575, 785

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 302 is 2 x 151

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 785 is 5 x 157

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, 302) = 11778

GCD(78, 302) = ( 78 x 302 ) / 11778

GCD(78, 302) = 23556 / 11778

GCD(78, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 575

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

LCM(2, 575) = 1150

GCD(2, 575) = ( 2 x 575 ) / 1150

GCD(2, 575) = 1150 / 1150

GCD(2, 575) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 78, 302, 575, 785 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 771, 549, 280
• GCD of 69, 329, 494, 128
• GCD of 69, 949, 797, 155
• GCD of 79, 213, 770, 843
• GCD of 74, 315, 735, 484

1. What is the GCD of 78, 302, 575, 785?

GCD of 78, 302, 575, 785 is 1

2. Where do I get the detailed procedure to find GCD of 78, 302, 575, 785?

You can find a detailed procedure to find GCD of 78, 302, 575, 785 on our page.

3. How to find GCD of 78, 302, 575, 785 on a calculator?

You can find the GCD of 78, 302, 575, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.