GCD of 782, 470, 15, 278 Calculator

Given Input numbers are 782, 470, 15, 278

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 782, 470, 15, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 470, 15, 278 is 1.

Therefore, GCD of numbers 782, 470, 15, 278 is 1

Given Input Data is 782, 470, 15, 278

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 470 is 2 x 5 x 47

Prime Factorization of 15 is 3 x 5

Prime Factorization of 278 is 2 x 139

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, 470) = 183770

GCD(782, 470) = ( 782 x 470 ) / 183770

GCD(782, 470) = 367540 / 183770

GCD(782, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 782, 470, 15, 278 is 1

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• GCD of 881, 897, 20, 471
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1. What is the GCD of 782, 470, 15, 278?

GCD of 782, 470, 15, 278 is 1

2. Where do I get the detailed procedure to find GCD of 782, 470, 15, 278?

You can find a detailed procedure to find GCD of 782, 470, 15, 278 on our page.

3. How to find GCD of 782, 470, 15, 278 on a calculator?

You can find the GCD of 782, 470, 15, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.