GCD of 778, 418, 87, 116 Calculator

Given Input numbers are 778, 418, 87, 116

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 778, 418, 87, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 418, 87, 116 is 1.

Therefore, GCD of numbers 778, 418, 87, 116 is 1

Given Input Data is 778, 418, 87, 116

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 87 is 3 x 29

Prime Factorization of 116 is 2 x 2 x 29

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(778, 418) = 162602

GCD(778, 418) = ( 778 x 418 ) / 162602

GCD(778, 418) = 325204 / 162602

GCD(778, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 778, 418, 87, 116 is 1

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• GCD of 146, 979, 33, 757
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1. What is the GCD of 778, 418, 87, 116?

GCD of 778, 418, 87, 116 is 1

2. Where do I get the detailed procedure to find GCD of 778, 418, 87, 116?

You can find a detailed procedure to find GCD of 778, 418, 87, 116 on our page.

3. How to find GCD of 778, 418, 87, 116 on a calculator?

You can find the GCD of 778, 418, 87, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.