GCD of 78, 235, 965, 782 Calculator

Given Input numbers are 78, 235, 965, 782

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 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 782

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

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

Greatest Common Divisior

We found the divisors of 78, 235, 965, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 235, 965, 782 is 1.

Therefore, GCD of numbers 78, 235, 965, 782 is 1

Given Input Data is 78, 235, 965, 782

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 235 is 5 x 47

Prime Factorization of 965 is 5 x 193

Prime Factorization of 782 is 2 x 17 x 23

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, 235) = 18330

GCD(78, 235) = ( 78 x 235 ) / 18330

GCD(78, 235) = 18330 / 18330

GCD(78, 235) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 78, 235, 965, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 515, 436, 241
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• GCD of 32, 641, 197, 355

1. What is the GCD of 78, 235, 965, 782?

GCD of 78, 235, 965, 782 is 1

2. Where do I get the detailed procedure to find GCD of 78, 235, 965, 782?

You can find a detailed procedure to find GCD of 78, 235, 965, 782 on our page.

3. How to find GCD of 78, 235, 965, 782 on a calculator?

You can find the GCD of 78, 235, 965, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.